Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1458,2,Mod(487,1458)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1458, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1458.487");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1458 = 2 \cdot 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1458.c (of order \(3\), degree \(2\), not 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: | \(11.6421886147\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{7} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 973.2 | ||
Root | \(-0.342020 + 0.939693i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1458.973 |
Dual form | 1458.2.c.h.487.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1458\mathbb{Z}\right)^\times\).
\(n\) | \(731\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −0.192377 | + | 0.333207i | −0.0860337 | + | 0.149015i | −0.905831 | − | 0.423639i | \(-0.860753\pi\) |
0.819798 | + | 0.572653i | \(0.194086\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.474416 | − | 0.821712i | −0.179312 | − | 0.310578i | 0.762333 | − | 0.647185i | \(-0.224054\pi\) |
−0.941645 | + | 0.336607i | \(0.890721\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.384754 | −0.121670 | ||||||||
\(11\) | 0.805242 | + | 1.39472i | 0.242790 | + | 0.420524i | 0.961508 | − | 0.274778i | \(-0.0886042\pi\) |
−0.718718 | + | 0.695301i | \(0.755271\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.16727 | − | 3.75382i | 0.601092 | − | 1.04112i | −0.391564 | − | 0.920151i | \(-0.628066\pi\) |
0.992656 | − | 0.120971i | \(-0.0386009\pi\) | |||||||
\(14\) | 0.474416 | − | 0.821712i | 0.126793 | − | 0.219612i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.49642 | −0.362935 | −0.181468 | − | 0.983397i | \(-0.558085\pi\) | ||||
−0.181468 | + | 0.983397i | \(0.558085\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.66356 | 1.52872 | 0.764362 | − | 0.644787i | \(-0.223054\pi\) | ||||
0.764362 | + | 0.644787i | \(0.223054\pi\) | |||||||
\(20\) | −0.192377 | − | 0.333207i | −0.0430169 | − | 0.0745074i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.805242 | + | 1.39472i | −0.171678 | + | 0.297355i | ||||
\(23\) | 3.29283 | − | 5.70336i | 0.686603 | − | 1.18923i | −0.286327 | − | 0.958132i | \(-0.592434\pi\) |
0.972930 | − | 0.231100i | \(-0.0742324\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.42598 | + | 4.20192i | 0.485196 | + | 0.840385i | ||||
\(26\) | 4.33454 | 0.850073 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.948831 | 0.179312 | ||||||||
\(29\) | 5.06018 | + | 8.76449i | 0.939652 | + | 1.62752i | 0.766121 | + | 0.642696i | \(0.222184\pi\) |
0.173530 | + | 0.984829i | \(0.444483\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.10265 | + | 3.64190i | −0.377648 | + | 0.654105i | −0.990719 | − | 0.135922i | \(-0.956600\pi\) |
0.613072 | + | 0.790027i | \(0.289934\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.748210 | − | 1.29594i | −0.128317 | − | 0.222252i | ||||
\(35\) | 0.365067 | 0.0617076 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.40088 | −0.559101 | −0.279550 | − | 0.960131i | \(-0.590185\pi\) | ||||
−0.279550 | + | 0.960131i | \(0.590185\pi\) | |||||||
\(38\) | 3.33178 | + | 5.77081i | 0.540486 | + | 0.936149i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.192377 | − | 0.333207i | 0.0304175 | − | 0.0526847i | ||||
\(41\) | −1.92125 | + | 3.32771i | −0.300049 | + | 0.519701i | −0.976147 | − | 0.217111i | \(-0.930337\pi\) |
0.676097 | + | 0.736812i | \(0.263670\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.913284 | − | 1.58185i | −0.139274 | − | 0.241230i | 0.787948 | − | 0.615742i | \(-0.211144\pi\) |
−0.927222 | + | 0.374512i | \(0.877810\pi\) | |||||||
\(44\) | −1.61048 | −0.242790 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.58567 | 0.971004 | ||||||||
\(47\) | 4.74230 | + | 8.21391i | 0.691736 | + | 1.19812i | 0.971269 | + | 0.237985i | \(0.0764870\pi\) |
−0.279533 | + | 0.960136i | \(0.590180\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.04986 | − | 5.28251i | 0.435694 | − | 0.754645i | ||||
\(50\) | −2.42598 | + | 4.20192i | −0.343086 | + | 0.594242i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.16727 | + | 3.75382i | 0.300546 | + | 0.520561i | ||||
\(53\) | 2.01268 | 0.276463 | 0.138231 | − | 0.990400i | \(-0.455858\pi\) | ||||
0.138231 | + | 0.990400i | \(0.455858\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.619641 | −0.0835524 | ||||||||
\(56\) | 0.474416 | + | 0.821712i | 0.0633965 | + | 0.109806i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.06018 | + | 8.76449i | −0.664434 | + | 1.15083i | ||||
\(59\) | −4.50435 | + | 7.80176i | −0.586416 | + | 1.01570i | 0.408281 | + | 0.912856i | \(0.366128\pi\) |
−0.994697 | + | 0.102846i | \(0.967205\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.30089 | − | 7.44936i | −0.550673 | − | 0.953793i | −0.998226 | − | 0.0595361i | \(-0.981038\pi\) |
0.447553 | − | 0.894257i | \(-0.352295\pi\) | |||||||
\(62\) | −4.20530 | −0.534074 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.833866 | + | 1.44430i | 0.103428 | + | 0.179143i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.84514 | − | 10.1241i | 0.714097 | − | 1.23685i | −0.249209 | − | 0.968450i | \(-0.580171\pi\) |
0.963307 | − | 0.268403i | \(-0.0864959\pi\) | |||||||
\(68\) | 0.748210 | − | 1.29594i | 0.0907338 | − | 0.157156i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.182534 | + | 0.316157i | 0.0218169 | + | 0.0377880i | ||||
\(71\) | −0.440680 | −0.0522991 | −0.0261496 | − | 0.999658i | \(-0.508325\pi\) | ||||
−0.0261496 | + | 0.999658i | \(0.508325\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 10.5525 | 1.23507 | 0.617537 | − | 0.786542i | \(-0.288131\pi\) | ||||
0.617537 | + | 0.786542i | \(0.288131\pi\) | |||||||
\(74\) | −1.70044 | − | 2.94525i | −0.197672 | − | 0.342378i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.33178 | + | 5.77081i | −0.382181 | + | 0.661957i | ||||
\(77\) | 0.764039 | − | 1.32335i | 0.0870703 | − | 0.150810i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.67514 | + | 11.5617i | 0.751012 | + | 1.30079i | 0.947332 | + | 0.320252i | \(0.103768\pi\) |
−0.196320 | + | 0.980540i | \(0.562899\pi\) | |||||||
\(80\) | 0.384754 | 0.0430169 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.84251 | −0.424334 | ||||||||
\(83\) | 3.99117 | + | 6.91291i | 0.438088 | + | 0.758791i | 0.997542 | − | 0.0700707i | \(-0.0223225\pi\) |
−0.559454 | + | 0.828861i | \(0.688989\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.287877 | − | 0.498618i | 0.0312247 | − | 0.0540827i | ||||
\(86\) | 0.913284 | − | 1.58185i | 0.0984819 | − | 0.170576i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.805242 | − | 1.39472i | −0.0858391 | − | 0.148678i | ||||
\(89\) | 10.3213 | 1.09405 | 0.547026 | − | 0.837115i | \(-0.315760\pi\) | ||||
0.547026 | + | 0.837115i | \(0.315760\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.11275 | −0.431133 | ||||||||
\(92\) | 3.29283 | + | 5.70336i | 0.343302 | + | 0.594616i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.74230 | + | 8.21391i | −0.489131 | + | 0.847200i | ||||
\(95\) | −1.28192 | + | 2.22034i | −0.131522 | + | 0.227803i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.57408 | − | 11.3866i | −0.667497 | − | 1.15614i | −0.978602 | − | 0.205763i | \(-0.934033\pi\) |
0.311105 | − | 0.950375i | \(-0.399301\pi\) | |||||||
\(98\) | 6.09972 | 0.616165 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.85196 | −0.485196 | ||||||||
\(101\) | 7.20725 | + | 12.4833i | 0.717149 | + | 1.24214i | 0.962125 | + | 0.272609i | \(0.0878864\pi\) |
−0.244977 | + | 0.969529i | \(0.578780\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.06095 | − | 5.30172i | 0.301604 | − | 0.522394i | −0.674895 | − | 0.737914i | \(-0.735811\pi\) |
0.976500 | + | 0.215520i | \(0.0691445\pi\) | |||||||
\(104\) | −2.16727 | + | 3.75382i | −0.212518 | + | 0.368092i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.00634 | + | 1.74303i | 0.0977443 | + | 0.169298i | ||||
\(107\) | −17.4187 | −1.68392 | −0.841962 | − | 0.539536i | \(-0.818600\pi\) | ||||
−0.841962 | + | 0.539536i | \(0.818600\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.94273 | −0.952340 | −0.476170 | − | 0.879353i | \(-0.657975\pi\) | ||||
−0.476170 | + | 0.879353i | \(0.657975\pi\) | |||||||
\(110\) | −0.309820 | − | 0.536625i | −0.0295402 | − | 0.0511652i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.474416 | + | 0.821712i | −0.0448281 | + | 0.0776445i | ||||
\(113\) | 4.52939 | − | 7.84514i | 0.426089 | − | 0.738008i | −0.570432 | − | 0.821345i | \(-0.693224\pi\) |
0.996521 | + | 0.0833364i | \(0.0265576\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.26693 | + | 2.19439i | 0.118142 | + | 0.204628i | ||||
\(116\) | −10.1204 | −0.939652 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −9.00869 | −0.829317 | ||||||||
\(119\) | 0.709925 | + | 1.22963i | 0.0650787 | + | 0.112720i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.20317 | − | 7.28011i | 0.382106 | − | 0.661828i | ||||
\(122\) | 4.30089 | − | 7.44936i | 0.389385 | − | 0.674434i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.10265 | − | 3.64190i | −0.188824 | − | 0.327052i | ||||
\(125\) | −3.79059 | −0.339040 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.08866 | −0.451546 | −0.225773 | − | 0.974180i | \(-0.572491\pi\) | ||||
−0.225773 | + | 0.974180i | \(0.572491\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.833866 | + | 1.44430i | −0.0731349 | + | 0.126673i | ||||
\(131\) | 0.396342 | − | 0.686484i | 0.0346285 | − | 0.0599784i | −0.848192 | − | 0.529689i | \(-0.822309\pi\) |
0.882820 | + | 0.469711i | \(0.155642\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.16130 | − | 5.47552i | −0.274119 | − | 0.474788i | ||||
\(134\) | 11.6903 | 1.00989 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.49642 | 0.128317 | ||||||||
\(137\) | −3.38637 | − | 5.86536i | −0.289317 | − | 0.501111i | 0.684330 | − | 0.729172i | \(-0.260095\pi\) |
−0.973647 | + | 0.228061i | \(0.926761\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.73533 | − | 3.00567i | 0.147188 | − | 0.254938i | −0.782999 | − | 0.622023i | \(-0.786311\pi\) |
0.930187 | + | 0.367085i | \(0.119644\pi\) | |||||||
\(140\) | −0.182534 | + | 0.316157i | −0.0154269 | + | 0.0267202i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.220340 | − | 0.381640i | −0.0184905 | − | 0.0320265i | ||||
\(143\) | 6.98070 | 0.583756 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.89385 | −0.323367 | ||||||||
\(146\) | 5.27624 | + | 9.13871i | 0.436664 | + | 0.756325i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.70044 | − | 2.94525i | 0.139775 | − | 0.242098i | ||||
\(149\) | −3.66435 | + | 6.34684i | −0.300195 | + | 0.519953i | −0.976180 | − | 0.216962i | \(-0.930385\pi\) |
0.675985 | + | 0.736916i | \(0.263718\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.57068 | + | 14.8449i | 0.697472 | + | 1.20806i | 0.969340 | + | 0.245723i | \(0.0790254\pi\) |
−0.271868 | + | 0.962335i | \(0.587641\pi\) | |||||||
\(152\) | −6.66356 | −0.540486 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.52808 | 0.123136 | ||||||||
\(155\) | −0.809005 | − | 1.40124i | −0.0649808 | − | 0.112550i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.666793 | + | 1.15492i | −0.0532159 | + | 0.0921726i | −0.891406 | − | 0.453205i | \(-0.850280\pi\) |
0.838190 | + | 0.545378i | \(0.183614\pi\) | |||||||
\(158\) | −6.67514 | + | 11.5617i | −0.531046 | + | 0.919799i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.192377 | + | 0.333207i | 0.0152088 | + | 0.0263423i | ||||
\(161\) | −6.24869 | −0.492466 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.68576 | 0.132039 | 0.0660194 | − | 0.997818i | \(-0.478970\pi\) | ||||
0.0660194 | + | 0.997818i | \(0.478970\pi\) | |||||||
\(164\) | −1.92125 | − | 3.32771i | −0.150025 | − | 0.259850i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.99117 | + | 6.91291i | −0.309775 | + | 0.536546i | ||||
\(167\) | 1.55769 | − | 2.69800i | 0.120538 | − | 0.208778i | −0.799442 | − | 0.600743i | \(-0.794871\pi\) |
0.919980 | + | 0.391965i | \(0.128205\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.89411 | − | 5.01274i | −0.222624 | − | 0.385596i | ||||
\(170\) | 0.575754 | 0.0441583 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.82657 | 0.139274 | ||||||||
\(173\) | −11.4906 | − | 19.9023i | −0.873614 | − | 1.51314i | −0.858232 | − | 0.513262i | \(-0.828437\pi\) |
−0.0153821 | − | 0.999882i | \(-0.504896\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.30185 | − | 3.98692i | 0.174003 | − | 0.301383i | ||||
\(176\) | 0.805242 | − | 1.39472i | 0.0606974 | − | 0.105131i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.16064 | + | 8.93848i | 0.386806 | + | 0.669968i | ||||
\(179\) | 25.7661 | 1.92585 | 0.962923 | − | 0.269776i | \(-0.0869497\pi\) | ||||
0.962923 | + | 0.269776i | \(0.0869497\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.1080 | −1.19730 | −0.598651 | − | 0.801010i | \(-0.704296\pi\) | ||||
−0.598651 | + | 0.801010i | \(0.704296\pi\) | |||||||
\(182\) | −2.05637 | − | 3.56174i | −0.152428 | − | 0.264014i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.29283 | + | 5.70336i | −0.242751 | + | 0.420457i | ||||
\(185\) | 0.654251 | − | 1.13320i | 0.0481015 | − | 0.0833142i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.20498 | − | 2.08709i | −0.0881169 | − | 0.152623i | ||||
\(188\) | −9.48460 | −0.691736 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.56383 | −0.186000 | ||||||||
\(191\) | −5.81076 | − | 10.0645i | −0.420452 | − | 0.728244i | 0.575532 | − | 0.817779i | \(-0.304795\pi\) |
−0.995984 | + | 0.0895354i | \(0.971462\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.93074 | − | 5.07620i | 0.210960 | − | 0.365393i | −0.741056 | − | 0.671444i | \(-0.765675\pi\) |
0.952015 | + | 0.306051i | \(0.0990078\pi\) | |||||||
\(194\) | 6.57408 | − | 11.3866i | 0.471991 | − | 0.817513i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.04986 | + | 5.28251i | 0.217847 | + | 0.377322i | ||||
\(197\) | 1.84952 | 0.131773 | 0.0658863 | − | 0.997827i | \(-0.479013\pi\) | ||||
0.0658863 | + | 0.997827i | \(0.479013\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.83609 | −0.484597 | −0.242299 | − | 0.970202i | \(-0.577901\pi\) | ||||
−0.242299 | + | 0.970202i | \(0.577901\pi\) | |||||||
\(200\) | −2.42598 | − | 4.20192i | −0.171543 | − | 0.297121i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −7.20725 | + | 12.4833i | −0.507101 | + | 0.878324i | ||||
\(203\) | 4.80126 | − | 8.31602i | 0.336982 | − | 0.583670i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.739211 | − | 1.28035i | −0.0516287 | − | 0.0894236i | ||||
\(206\) | 6.12190 | 0.426533 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.33454 | −0.300546 | ||||||||
\(209\) | 5.36578 | + | 9.29380i | 0.371158 | + | 0.642865i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.06905 | − | 8.77985i | 0.348968 | − | 0.604430i | −0.637099 | − | 0.770782i | \(-0.719866\pi\) |
0.986066 | + | 0.166352i | \(0.0531989\pi\) | |||||||
\(212\) | −1.00634 | + | 1.74303i | −0.0691157 | + | 0.119712i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −8.70933 | − | 15.0850i | −0.595357 | − | 1.03119i | ||||
\(215\) | 0.702780 | 0.0479292 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.99012 | 0.270867 | ||||||||
\(218\) | −4.97136 | − | 8.61065i | −0.336703 | − | 0.583187i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.309820 | − | 0.536625i | 0.0208881 | − | 0.0361792i | ||||
\(221\) | −3.24315 | + | 5.61729i | −0.218158 | + | 0.377860i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.9793 | + | 20.7487i | 0.802191 | + | 1.38944i | 0.918171 | + | 0.396184i | \(0.129666\pi\) |
−0.115981 | + | 0.993251i | \(0.537001\pi\) | |||||||
\(224\) | −0.948831 | −0.0633965 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.05878 | 0.602581 | ||||||||
\(227\) | 3.58227 | + | 6.20468i | 0.237764 | + | 0.411819i | 0.960072 | − | 0.279752i | \(-0.0902523\pi\) |
−0.722309 | + | 0.691571i | \(0.756919\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.42354 | + | 7.66180i | −0.292316 | + | 0.506306i | −0.974357 | − | 0.225008i | \(-0.927759\pi\) |
0.682041 | + | 0.731314i | \(0.261092\pi\) | |||||||
\(230\) | −1.26693 | + | 2.19439i | −0.0835391 | + | 0.144694i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.06018 | − | 8.76449i | −0.332217 | − | 0.575417i | ||||
\(233\) | −23.7835 | −1.55811 | −0.779053 | − | 0.626958i | \(-0.784300\pi\) | ||||
−0.779053 | + | 0.626958i | \(0.784300\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.64924 | −0.238050 | ||||||||
\(236\) | −4.50435 | − | 7.80176i | −0.293208 | − | 0.507851i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.709925 | + | 1.22963i | −0.0460176 | + | 0.0797048i | ||||
\(239\) | 8.04881 | − | 13.9410i | 0.520634 | − | 0.901765i | −0.479078 | − | 0.877772i | \(-0.659029\pi\) |
0.999712 | − | 0.0239927i | \(-0.00763785\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.6250 | − | 20.1351i | −0.748832 | − | 1.29701i | −0.948383 | − | 0.317127i | \(-0.897282\pi\) |
0.199552 | − | 0.979887i | \(-0.436051\pi\) | |||||||
\(242\) | 8.40634 | 0.540380 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 8.60179 | 0.550673 | ||||||||
\(245\) | 1.17345 | + | 2.03247i | 0.0749688 | + | 0.129850i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 14.4417 | − | 25.0138i | 0.918905 | − | 1.59159i | ||||
\(248\) | 2.10265 | − | 3.64190i | 0.133519 | − | 0.231261i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.89529 | − | 3.28274i | −0.119869 | − | 0.207619i | ||||
\(251\) | 0.0740798 | 0.00467588 | 0.00233794 | − | 0.999997i | \(-0.499256\pi\) | ||||
0.00233794 | + | 0.999997i | \(0.499256\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.6061 | 0.666801 | ||||||||
\(254\) | −2.54433 | − | 4.40691i | −0.159646 | − | 0.276514i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 5.70503 | − | 9.88140i | 0.355870 | − | 0.616385i | −0.631396 | − | 0.775460i | \(-0.717518\pi\) |
0.987266 | + | 0.159075i | \(0.0508512\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.61343 | + | 2.79454i | 0.100254 | + | 0.173644i | ||||
\(260\) | −1.66773 | −0.103428 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.792684 | 0.0489722 | ||||||||
\(263\) | −13.0996 | − | 22.6892i | −0.807757 | − | 1.39908i | −0.914414 | − | 0.404780i | \(-0.867348\pi\) |
0.106658 | − | 0.994296i | \(-0.465985\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.387193 | + | 0.670639i | −0.0237851 | + | 0.0411970i | ||||
\(266\) | 3.16130 | − | 5.47552i | 0.193831 | − | 0.335726i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.84514 | + | 10.1241i | 0.357049 | + | 0.618426i | ||||
\(269\) | −0.668509 | −0.0407597 | −0.0203799 | − | 0.999792i | \(-0.506488\pi\) | ||||
−0.0203799 | + | 0.999792i | \(0.506488\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.97592 | −0.180774 | −0.0903871 | − | 0.995907i | \(-0.528810\pi\) | ||||
−0.0903871 | + | 0.995907i | \(0.528810\pi\) | |||||||
\(272\) | 0.748210 | + | 1.29594i | 0.0453669 | + | 0.0785778i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.38637 | − | 5.86536i | 0.204578 | − | 0.354339i | ||||
\(275\) | −3.90700 | + | 6.76713i | −0.235601 | + | 0.408073i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.855405 | + | 1.48160i | 0.0513963 | + | 0.0890210i | 0.890579 | − | 0.454829i | \(-0.150300\pi\) |
−0.839183 | + | 0.543850i | \(0.816966\pi\) | |||||||
\(278\) | 3.47065 | 0.208156 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.365067 | −0.0218169 | ||||||||
\(281\) | −14.8691 | − | 25.7540i | −0.887017 | − | 1.53636i | −0.843385 | − | 0.537310i | \(-0.819441\pi\) |
−0.0436317 | − | 0.999048i | \(-0.513893\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.5787 | + | 18.3229i | −0.628840 | + | 1.08918i | 0.358945 | + | 0.933359i | \(0.383137\pi\) |
−0.987785 | + | 0.155824i | \(0.950197\pi\) | |||||||
\(284\) | 0.220340 | − | 0.381640i | 0.0130748 | − | 0.0226462i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.49035 | + | 6.04547i | 0.206389 | + | 0.357476i | ||||
\(287\) | 3.64589 | 0.215210 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.7607 | −0.868278 | ||||||||
\(290\) | −1.94693 | − | 3.37218i | −0.114327 | − | 0.198021i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.27624 | + | 9.13871i | −0.308768 | + | 0.534803i | ||||
\(293\) | −10.2509 | + | 17.7550i | −0.598862 | + | 1.03726i | 0.394128 | + | 0.919056i | \(0.371047\pi\) |
−0.992989 | + | 0.118203i | \(0.962287\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.73307 | − | 3.00176i | −0.100903 | − | 0.174769i | ||||
\(296\) | 3.40088 | 0.197672 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −7.32870 | −0.424540 | ||||||||
\(299\) | −14.2729 | − | 24.7214i | −0.825424 | − | 1.42968i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.866552 | + | 1.50091i | −0.0499472 | + | 0.0865111i | ||||
\(302\) | −8.57068 | + | 14.8449i | −0.493187 | + | 0.854226i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.33178 | − | 5.77081i | −0.191091 | − | 0.330979i | ||||
\(305\) | 3.30958 | 0.189506 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 28.6098 | 1.63285 | 0.816425 | − | 0.577452i | \(-0.195953\pi\) | ||||
0.816425 | + | 0.577452i | \(0.195953\pi\) | |||||||
\(308\) | 0.764039 | + | 1.32335i | 0.0435351 | + | 0.0754051i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.809005 | − | 1.40124i | 0.0459484 | − | 0.0795849i | ||||
\(311\) | −16.8235 | + | 29.1391i | −0.953972 | + | 1.65233i | −0.217270 | + | 0.976112i | \(0.569715\pi\) |
−0.736702 | + | 0.676217i | \(0.763618\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.95914 | + | 5.12538i | 0.167260 | + | 0.289703i | 0.937456 | − | 0.348105i | \(-0.113175\pi\) |
−0.770195 | + | 0.637808i | \(0.779841\pi\) | |||||||
\(314\) | −1.33359 | −0.0752586 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −13.3503 | −0.751012 | ||||||||
\(317\) | −14.3413 | − | 24.8398i | −0.805485 | − | 1.39514i | −0.915963 | − | 0.401262i | \(-0.868572\pi\) |
0.110478 | − | 0.993879i | \(-0.464762\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −8.14934 | + | 14.1151i | −0.456275 | + | 0.790292i | ||||
\(320\) | −0.192377 | + | 0.333207i | −0.0107542 | + | 0.0186268i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.12434 | − | 5.41152i | −0.174113 | − | 0.301572i | ||||
\(323\) | −9.97148 | −0.554828 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 21.0310 | 1.16659 | ||||||||
\(326\) | 0.842879 | + | 1.45991i | 0.0466828 | + | 0.0808569i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.92125 | − | 3.32771i | 0.106084 | − | 0.183742i | ||||
\(329\) | 4.49964 | − | 7.79361i | 0.248073 | − | 0.429676i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.791396 | − | 1.37074i | −0.0434990 | − | 0.0753425i | 0.843456 | − | 0.537198i | \(-0.180517\pi\) |
−0.886955 | + | 0.461855i | \(0.847184\pi\) | |||||||
\(332\) | −7.98234 | −0.438088 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.11539 | 0.170466 | ||||||||
\(335\) | 2.24894 | + | 3.89528i | 0.122873 | + | 0.212822i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.66359 | + | 15.0058i | −0.471936 | + | 0.817417i | −0.999484 | − | 0.0321079i | \(-0.989778\pi\) |
0.527548 | + | 0.849525i | \(0.323111\pi\) | |||||||
\(338\) | 2.89411 | − | 5.01274i | 0.157419 | − | 0.272657i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.287877 | + | 0.498618i | 0.0156123 | + | 0.0270414i | ||||
\(341\) | −6.77258 | −0.366756 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.4294 | −0.671126 | ||||||||
\(344\) | 0.913284 | + | 1.58185i | 0.0492410 | + | 0.0852878i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.4906 | − | 19.9023i | 0.617738 | − | 1.06995i | ||||
\(347\) | 13.5130 | − | 23.4053i | 0.725418 | − | 1.25646i | −0.233384 | − | 0.972385i | \(-0.574980\pi\) |
0.958802 | − | 0.284076i | \(-0.0916868\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −9.14403 | − | 15.8379i | −0.489469 | − | 0.847785i | 0.510458 | − | 0.859903i | \(-0.329476\pi\) |
−0.999927 | + | 0.0121181i | \(0.996143\pi\) | |||||||
\(350\) | 4.60370 | 0.246078 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.61048 | 0.0858391 | ||||||||
\(353\) | 8.05813 | + | 13.9571i | 0.428891 | + | 0.742861i | 0.996775 | − | 0.0802479i | \(-0.0255712\pi\) |
−0.567884 | + | 0.823108i | \(0.692238\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.0847768 | − | 0.146838i | 0.00449949 | − | 0.00779334i | ||||
\(356\) | −5.16064 | + | 8.93848i | −0.273513 | + | 0.473739i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 12.8830 | + | 22.3141i | 0.680889 | + | 1.17934i | ||||
\(359\) | −22.3287 | −1.17846 | −0.589231 | − | 0.807964i | \(-0.700569\pi\) | ||||
−0.589231 | + | 0.807964i | \(0.700569\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 25.4030 | 1.33700 | ||||||||
\(362\) | −8.05402 | − | 13.9500i | −0.423310 | − | 0.733195i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.05637 | − | 3.56174i | 0.107783 | − | 0.186686i | ||||
\(365\) | −2.03006 | + | 3.51616i | −0.106258 | + | 0.184044i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.75113 | + | 4.76509i | 0.143608 | + | 0.248736i | 0.928853 | − | 0.370449i | \(-0.120796\pi\) |
−0.785245 | + | 0.619185i | \(0.787463\pi\) | |||||||
\(368\) | −6.58567 | −0.343302 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.30850 | 0.0680258 | ||||||||
\(371\) | −0.954846 | − | 1.65384i | −0.0495731 | − | 0.0858632i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.95181 | − | 10.3088i | 0.308173 | − | 0.533772i | −0.669790 | − | 0.742551i | \(-0.733616\pi\) |
0.977963 | + | 0.208779i | \(0.0669490\pi\) | |||||||
\(374\) | 1.20498 | − | 2.08709i | 0.0623081 | − | 0.107921i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.74230 | − | 8.21391i | −0.244565 | − | 0.423600i | ||||
\(377\) | 43.8671 | 2.25927 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.3389 | 0.942006 | 0.471003 | − | 0.882131i | \(-0.343892\pi\) | ||||
0.471003 | + | 0.882131i | \(0.343892\pi\) | |||||||
\(380\) | −1.28192 | − | 2.22034i | −0.0657609 | − | 0.113901i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.81076 | − | 10.0645i | 0.297304 | − | 0.514946i | ||||
\(383\) | −14.7248 | + | 25.5040i | −0.752400 | + | 1.30320i | 0.194256 | + | 0.980951i | \(0.437771\pi\) |
−0.946656 | + | 0.322245i | \(0.895563\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.293967 | + | 0.509166i | 0.0149820 | + | 0.0259495i | ||||
\(386\) | 5.86149 | 0.298342 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 13.1482 | 0.667497 | ||||||||
\(389\) | −2.45458 | − | 4.25146i | −0.124452 | − | 0.215557i | 0.797067 | − | 0.603892i | \(-0.206384\pi\) |
−0.921519 | + | 0.388334i | \(0.873051\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.92746 | + | 8.53462i | −0.249193 | + | 0.431614i | ||||
\(392\) | −3.04986 | + | 5.28251i | −0.154041 | + | 0.266807i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.924759 | + | 1.60173i | 0.0465887 | + | 0.0806939i | ||||
\(395\) | −5.13658 | −0.258450 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 25.6473 | 1.28720 | 0.643601 | − | 0.765361i | \(-0.277440\pi\) | ||||
0.643601 | + | 0.765361i | \(0.277440\pi\) | |||||||
\(398\) | −3.41804 | − | 5.92022i | −0.171331 | − | 0.296754i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.42598 | − | 4.20192i | 0.121299 | − | 0.210096i | ||||
\(401\) | −12.5165 | + | 21.6793i | −0.625047 | + | 1.08261i | 0.363485 | + | 0.931600i | \(0.381587\pi\) |
−0.988532 | + | 0.151012i | \(0.951747\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.11403 | + | 15.7860i | 0.454002 | + | 0.786355i | ||||
\(404\) | −14.4145 | −0.717149 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.60251 | 0.476565 | ||||||||
\(407\) | −2.73853 | − | 4.74327i | −0.135744 | − | 0.235115i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.4041 | − | 23.2166i | 0.662789 | − | 1.14798i | −0.317090 | − | 0.948395i | \(-0.602706\pi\) |
0.979880 | − | 0.199589i | \(-0.0639608\pi\) | |||||||
\(410\) | 0.739211 | − | 1.28035i | 0.0365070 | − | 0.0632320i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 3.06095 | + | 5.30172i | 0.150802 | + | 0.261197i | ||||
\(413\) | 8.54773 | 0.420606 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.07124 | −0.150761 | ||||||||
\(416\) | −2.16727 | − | 3.75382i | −0.106259 | − | 0.184046i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.36578 | + | 9.29380i | −0.262449 | + | 0.454574i | ||||
\(419\) | 14.8586 | − | 25.7358i | 0.725889 | − | 1.25728i | −0.232718 | − | 0.972544i | \(-0.574762\pi\) |
0.958607 | − | 0.284733i | \(-0.0919049\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.73540 | − | 15.1302i | −0.425737 | − | 0.737398i | 0.570752 | − | 0.821123i | \(-0.306652\pi\) |
−0.996489 | + | 0.0837242i | \(0.973319\pi\) | |||||||
\(422\) | 10.1381 | 0.493515 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.01268 | −0.0977443 | ||||||||
\(425\) | −3.63029 | − | 6.28784i | −0.176095 | − | 0.305005i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.08082 | + | 7.06819i | −0.197485 | + | 0.342054i | ||||
\(428\) | 8.70933 | − | 15.0850i | 0.420981 | − | 0.729161i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.351390 | + | 0.608625i | 0.0169455 | + | 0.0293505i | ||||
\(431\) | 4.27087 | 0.205721 | 0.102860 | − | 0.994696i | \(-0.467201\pi\) | ||||
0.102860 | + | 0.994696i | \(0.467201\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.3582 | −0.738066 | −0.369033 | − | 0.929416i | \(-0.620311\pi\) | ||||
−0.369033 | + | 0.929416i | \(0.620311\pi\) | |||||||
\(434\) | 1.99506 | + | 3.45555i | 0.0957661 | + | 0.165872i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.97136 | − | 8.61065i | 0.238085 | − | 0.412375i | ||||
\(437\) | 21.9420 | − | 38.0046i | 1.04963 | − | 1.81801i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.30751 | + | 12.6570i | 0.348769 | + | 0.604085i | 0.986031 | − | 0.166562i | \(-0.0532666\pi\) |
−0.637262 | + | 0.770647i | \(0.719933\pi\) | |||||||
\(440\) | 0.619641 | 0.0295402 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.48629 | −0.308521 | ||||||||
\(443\) | −2.86520 | − | 4.96267i | −0.136130 | − | 0.235784i | 0.789899 | − | 0.613237i | \(-0.210133\pi\) |
−0.926028 | + | 0.377454i | \(0.876800\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.98558 | + | 3.43912i | −0.0941254 | + | 0.163030i | ||||
\(446\) | −11.9793 | + | 20.7487i | −0.567235 | + | 0.982479i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.474416 | − | 0.821712i | −0.0224140 | − | 0.0388222i | ||||
\(449\) | 2.38888 | 0.112738 | 0.0563690 | − | 0.998410i | \(-0.482048\pi\) | ||||
0.0563690 | + | 0.998410i | \(0.482048\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.18830 | −0.291396 | ||||||||
\(452\) | 4.52939 | + | 7.84514i | 0.213045 | + | 0.369004i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.58227 | + | 6.20468i | −0.168124 | + | 0.291200i | ||||
\(455\) | 0.791199 | − | 1.37040i | 0.0370920 | − | 0.0642452i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.83789 | − | 17.0397i | −0.460197 | − | 0.797085i | 0.538773 | − | 0.842451i | \(-0.318888\pi\) |
−0.998970 | + | 0.0453661i | \(0.985555\pi\) | |||||||
\(458\) | −8.84708 | −0.413397 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.53387 | −0.118142 | ||||||||
\(461\) | −4.01181 | − | 6.94866i | −0.186849 | − | 0.323631i | 0.757349 | − | 0.653010i | \(-0.226494\pi\) |
−0.944198 | + | 0.329379i | \(0.893161\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.9741 | + | 20.7397i | −0.556484 | + | 0.963858i | 0.441303 | + | 0.897358i | \(0.354516\pi\) |
−0.997786 | + | 0.0664995i | \(0.978817\pi\) | |||||||
\(464\) | 5.06018 | − | 8.76449i | 0.234913 | − | 0.406881i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −11.8917 | − | 20.5971i | −0.550874 | − | 0.954141i | ||||
\(467\) | −11.3484 | −0.525141 | −0.262571 | − | 0.964913i | \(-0.584570\pi\) | ||||
−0.262571 | + | 0.964913i | \(0.584570\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −11.0921 | −0.512186 | ||||||||
\(470\) | −1.82462 | − | 3.16034i | −0.0841635 | − | 0.145775i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.50435 | − | 7.80176i | 0.207329 | − | 0.359105i | ||||
\(473\) | 1.47083 | − | 2.54755i | 0.0676288 | − | 0.117136i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.1657 | + | 27.9998i | 0.741732 | + | 1.28472i | ||||
\(476\) | −1.41985 | −0.0650787 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 16.0976 | 0.736288 | ||||||||
\(479\) | −17.7905 | − | 30.8141i | −0.812869 | − | 1.40793i | −0.910848 | − | 0.412742i | \(-0.864571\pi\) |
0.0979785 | − | 0.995189i | \(-0.468762\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.37061 | + | 12.7663i | −0.336071 | + | 0.582092i | ||||
\(482\) | 11.6250 | − | 20.1351i | 0.529504 | − | 0.917128i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.20317 | + | 7.28011i | 0.191053 | + | 0.330914i | ||||
\(485\) | 5.05881 | 0.229709 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −19.0377 | −0.862679 | −0.431339 | − | 0.902190i | \(-0.641959\pi\) | ||||
−0.431339 | + | 0.902190i | \(0.641959\pi\) | |||||||
\(488\) | 4.30089 | + | 7.44936i | 0.194692 | + | 0.337217i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.17345 | + | 2.03247i | −0.0530109 | + | 0.0918176i | ||||
\(491\) | −13.5007 | + | 23.3839i | −0.609279 | + | 1.05530i | 0.382080 | + | 0.924129i | \(0.375208\pi\) |
−0.991359 | + | 0.131173i | \(0.958126\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.57215 | − | 13.1154i | −0.341033 | − | 0.590686i | ||||
\(494\) | 28.8834 | 1.29953 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.20530 | 0.188824 | ||||||||
\(497\) | 0.209066 | + | 0.362112i | 0.00937787 | + | 0.0162430i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.831452 | − | 1.44012i | 0.0372209 | − | 0.0644685i | −0.846815 | − | 0.531888i | \(-0.821483\pi\) |
0.884036 | + | 0.467419i | \(0.154816\pi\) | |||||||
\(500\) | 1.89529 | − | 3.28274i | 0.0847601 | − | 0.146809i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.0370399 | + | 0.0641550i | 0.00165317 | + | 0.00286338i | ||||
\(503\) | 3.71565 | 0.165673 | 0.0828364 | − | 0.996563i | \(-0.473602\pi\) | ||||
0.0828364 | + | 0.996563i | \(0.473602\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.54605 | −0.246796 | ||||||||
\(506\) | 5.30306 | + | 9.18516i | 0.235750 | + | 0.408330i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.54433 | − | 4.40691i | 0.112886 | − | 0.195525i | ||||
\(509\) | 4.30589 | − | 7.45802i | 0.190855 | − | 0.330571i | −0.754679 | − | 0.656095i | \(-0.772207\pi\) |
0.945534 | + | 0.325524i | \(0.105541\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.00626 | − | 8.67109i | −0.221464 | − | 0.383587i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 11.4101 | 0.503276 | ||||||||
\(515\) | 1.17771 | + | 2.03986i | 0.0518963 | + | 0.0898870i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7.63740 | + | 13.2284i | −0.335892 | + | 0.581783i | ||||
\(518\) | −1.61343 | + | 2.79454i | −0.0708900 | + | 0.122785i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.833866 | − | 1.44430i | −0.0365675 | − | 0.0633367i | ||||
\(521\) | −39.5039 | −1.73070 | −0.865348 | − | 0.501171i | \(-0.832903\pi\) | ||||
−0.865348 | + | 0.501171i | \(0.832903\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.18762 | −0.0519310 | −0.0259655 | − | 0.999663i | \(-0.508266\pi\) | ||||
−0.0259655 | + | 0.999663i | \(0.508266\pi\) | |||||||
\(524\) | 0.396342 | + | 0.686484i | 0.0173143 | + | 0.0299892i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.0996 | − | 22.6892i | 0.571170 | − | 0.989296i | ||||
\(527\) | 3.14645 | − | 5.44981i | 0.137062 | − | 0.237398i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −10.1855 | − | 17.6418i | −0.442848 | − | 0.767036i | ||||
\(530\) | −0.774387 | −0.0336372 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 6.32259 | 0.274119 | ||||||||
\(533\) | 8.32775 | + | 14.4241i | 0.360715 | + | 0.624776i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.35095 | − | 5.80402i | 0.144874 | − | 0.250930i | ||||
\(536\) | −5.84514 | + | 10.1241i | −0.252472 | + | 0.437294i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.334254 | − | 0.578946i | −0.0144107 | − | 0.0249601i | ||||
\(539\) | 9.82350 | 0.423128 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 25.2367 | 1.08501 | 0.542506 | − | 0.840052i | \(-0.317476\pi\) | ||||
0.542506 | + | 0.840052i | \(0.317476\pi\) | |||||||
\(542\) | −1.48796 | − | 2.57722i | −0.0639133 | − | 0.110701i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.748210 | + | 1.29594i | −0.0320792 | + | 0.0555629i | ||||
\(545\) | 1.91275 | − | 3.31299i | 0.0819334 | − | 0.141913i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 13.1129 | + | 22.7123i | 0.560668 | + | 0.971106i | 0.997438 | + | 0.0715326i | \(0.0227890\pi\) |
−0.436770 | + | 0.899573i | \(0.643878\pi\) | |||||||
\(548\) | 6.77273 | 0.289317 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −7.81401 | −0.333191 | ||||||||
\(551\) | 33.7188 | + | 58.4027i | 1.43647 | + | 2.48804i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.33359 | − | 10.9701i | 0.269331 | − | 0.466496i | ||||
\(554\) | −0.855405 | + | 1.48160i | −0.0363427 | + | 0.0629474i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.73533 | + | 3.00567i | 0.0735942 | + | 0.127469i | ||||
\(557\) | −11.5277 | −0.488444 | −0.244222 | − | 0.969719i | \(-0.578533\pi\) | ||||
−0.244222 | + | 0.969719i | \(0.578533\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.91733 | −0.334867 | ||||||||
\(560\) | −0.182534 | − | 0.316157i | −0.00771345 | − | 0.0133601i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.8691 | − | 25.7540i | 0.627215 | − | 1.08637i | ||||
\(563\) | −15.9212 | + | 27.5764i | −0.671000 | + | 1.16221i | 0.306621 | + | 0.951832i | \(0.400802\pi\) |
−0.977621 | + | 0.210375i | \(0.932532\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.74270 | + | 3.01845i | 0.0733161 | + | 0.126987i | ||||
\(566\) | −21.1575 | −0.889314 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.440680 | 0.0184905 | ||||||||
\(569\) | 12.1928 | + | 21.1186i | 0.511150 | + | 0.885338i | 0.999916 | + | 0.0129232i | \(0.00411370\pi\) |
−0.488766 | + | 0.872415i | \(0.662553\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −17.3922 | + | 30.1243i | −0.727843 | + | 1.26066i | 0.229950 | + | 0.973202i | \(0.426144\pi\) |
−0.957793 | + | 0.287459i | \(0.907190\pi\) | |||||||
\(572\) | −3.49035 | + | 6.04547i | −0.145939 | + | 0.252774i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.82295 | + | 3.15744i | 0.0760883 | + | 0.131789i | ||||
\(575\) | 31.9534 | 1.33255 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −26.1469 | −1.08851 | −0.544255 | − | 0.838920i | \(-0.683188\pi\) | ||||
−0.544255 | + | 0.838920i | \(0.683188\pi\) | |||||||
\(578\) | −7.38036 | − | 12.7832i | −0.306983 | − | 0.531710i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.94693 | − | 3.37218i | 0.0808417 | − | 0.140022i | ||||
\(581\) | 3.78695 | − | 6.55919i | 0.157109 | − | 0.272121i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.62069 | + | 2.80712i | 0.0671222 | + | 0.116259i | ||||
\(584\) | −10.5525 | −0.436664 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −20.5017 | −0.846918 | ||||||||
\(587\) | 16.2780 | + | 28.1943i | 0.671864 | + | 1.16370i | 0.977375 | + | 0.211514i | \(0.0678395\pi\) |
−0.305511 | + | 0.952189i | \(0.598827\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −14.0111 | + | 24.2680i | −0.577319 | + | 0.999946i | ||||
\(590\) | 1.73307 | − | 3.00176i | 0.0713493 | − | 0.123581i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.70044 | + | 2.94525i | 0.0698876 | + | 0.121049i | ||||
\(593\) | −6.75797 | −0.277517 | −0.138758 | − | 0.990326i | \(-0.544311\pi\) | ||||
−0.138758 | + | 0.990326i | \(0.544311\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.546294 | −0.0223959 | ||||||||
\(596\) | −3.66435 | − | 6.34684i | −0.150098 | − | 0.259977i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 14.2729 | − | 24.7214i | 0.583663 | − | 1.01093i | ||||
\(599\) | 8.26901 | − | 14.3224i | 0.337863 | − | 0.585195i | −0.646168 | − | 0.763195i | \(-0.723629\pi\) |
0.984030 | + | 0.178000i | \(0.0569627\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −21.1718 | − | 36.6706i | −0.863614 | − | 1.49582i | −0.868417 | − | 0.495835i | \(-0.834862\pi\) |
0.00480228 | − | 0.999988i | \(-0.498471\pi\) | |||||||
\(602\) | −1.73310 | −0.0706361 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −17.1414 | −0.697472 | ||||||||
\(605\) | 1.61719 | + | 2.80105i | 0.0657481 | + | 0.113879i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.36665 | + | 9.29531i | −0.217826 | + | 0.377285i | −0.954143 | − | 0.299351i | \(-0.903230\pi\) |
0.736317 | + | 0.676636i | \(0.236563\pi\) | |||||||
\(608\) | 3.33178 | − | 5.77081i | 0.135121 | − | 0.234037i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.65479 | + | 2.86618i | 0.0670004 | + | 0.116048i | ||||
\(611\) | 41.1114 | 1.66319 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.67291 | −0.229127 | −0.114563 | − | 0.993416i | \(-0.536547\pi\) | ||||
−0.114563 | + | 0.993416i | \(0.536547\pi\) | |||||||
\(614\) | 14.3049 | + | 24.7768i | 0.577299 | + | 0.999912i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.764039 | + | 1.32335i | −0.0307840 | + | 0.0533194i | ||||
\(617\) | −8.26427 | + | 14.3141i | −0.332707 | + | 0.576266i | −0.983042 | − | 0.183382i | \(-0.941295\pi\) |
0.650335 | + | 0.759648i | \(0.274629\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 23.1332 | + | 40.0678i | 0.929801 | + | 1.61046i | 0.783652 | + | 0.621200i | \(0.213354\pi\) |
0.146149 | + | 0.989263i | \(0.453312\pi\) | |||||||
\(620\) | 1.61801 | 0.0649808 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −33.6470 | −1.34912 | ||||||||
\(623\) | −4.89657 | − | 8.48111i | −0.196177 | − | 0.339789i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.4007 | + | 19.7466i | −0.456027 | + | 0.789863i | ||||
\(626\) | −2.95914 | + | 5.12538i | −0.118271 | + | 0.204851i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.666793 | − | 1.15492i | −0.0266079 | − | 0.0460863i | ||||
\(629\) | 5.08914 | 0.202917 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −26.2601 | −1.04540 | −0.522699 | − | 0.852518i | \(-0.675075\pi\) | ||||
−0.522699 | + | 0.852518i | \(0.675075\pi\) | |||||||
\(632\) | −6.67514 | − | 11.5617i | −0.265523 | − | 0.459899i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 14.3413 | − | 24.8398i | 0.569564 | − | 0.986514i | ||||
\(635\) | 0.978943 | − | 1.69558i | 0.0388482 | − | 0.0672870i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −13.2197 | − | 22.8972i | −0.523785 | − | 0.907222i | ||||
\(638\) | −16.2987 | −0.645271 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.384754 | −0.0152088 | ||||||||
\(641\) | 9.46936 | + | 16.4014i | 0.374017 | + | 0.647817i | 0.990179 | − | 0.139803i | \(-0.0446468\pi\) |
−0.616162 | + | 0.787619i | \(0.711313\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.4636 | + | 19.8556i | −0.452081 | + | 0.783028i | −0.998515 | − | 0.0544744i | \(-0.982652\pi\) |
0.546434 | + | 0.837502i | \(0.315985\pi\) | |||||||
\(644\) | 3.12434 | − | 5.41152i | 0.123116 | − | 0.213244i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.98574 | − | 8.63556i | −0.196161 | − | 0.339761i | ||||
\(647\) | −33.3928 | −1.31281 | −0.656403 | − | 0.754410i | \(-0.727923\pi\) | ||||
−0.656403 | + | 0.754410i | \(0.727923\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −14.5084 | −0.569503 | ||||||||
\(650\) | 10.5155 | + | 18.2134i | 0.412452 | + | 0.714388i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.842879 | + | 1.45991i | −0.0330097 | + | 0.0571745i | ||||
\(653\) | 16.2333 | − | 28.1169i | 0.635258 | − | 1.10030i | −0.351203 | − | 0.936299i | \(-0.614227\pi\) |
0.986461 | − | 0.163999i | \(-0.0524394\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.152494 | + | 0.264128i | 0.00595844 | + | 0.0103203i | ||||
\(656\) | 3.84251 | 0.150025 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.99929 | 0.350829 | ||||||||
\(659\) | 5.85604 | + | 10.1430i | 0.228119 | + | 0.395114i | 0.957251 | − | 0.289260i | \(-0.0934092\pi\) |
−0.729132 | + | 0.684373i | \(0.760076\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.80613 | − | 13.5206i | 0.303623 | − | 0.525891i | −0.673331 | − | 0.739341i | \(-0.735137\pi\) |
0.976954 | + | 0.213451i | \(0.0684703\pi\) | |||||||
\(662\) | 0.791396 | − | 1.37074i | 0.0307585 | − | 0.0532752i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.99117 | − | 6.91291i | −0.154888 | − | 0.268273i | ||||
\(665\) | 2.43265 | 0.0943339 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 66.6493 | 2.58067 | ||||||||
\(668\) | 1.55769 | + | 2.69800i | 0.0602690 | + | 0.104389i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.24894 | + | 3.89528i | −0.0868842 | + | 0.150488i | ||||
\(671\) | 6.92652 | − | 11.9971i | 0.267395 | − | 0.463142i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.74255 | + | 15.1425i | 0.337000 | + | 0.583702i | 0.983867 | − | 0.178901i | \(-0.0572543\pi\) |
−0.646867 | + | 0.762603i | \(0.723921\pi\) | |||||||
\(674\) | −17.3272 | −0.667418 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.78822 | 0.222624 | ||||||||
\(677\) | −5.83323 | − | 10.1035i | −0.224189 | − | 0.388307i | 0.731887 | − | 0.681426i | \(-0.238640\pi\) |
−0.956076 | + | 0.293119i | \(0.905307\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.23769 | + | 10.8040i | −0.239381 | + | 0.414619i | ||||
\(680\) | −0.287877 | + | 0.498618i | −0.0110396 | + | 0.0191211i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.38629 | − | 5.86522i | −0.129668 | − | 0.224591i | ||||
\(683\) | −35.9229 | −1.37455 | −0.687276 | − | 0.726396i | \(-0.741194\pi\) | ||||
−0.687276 | + | 0.726396i | \(0.741194\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.60584 | 0.0995640 | ||||||||
\(686\) | −6.21471 | − | 10.7642i | −0.237279 | − | 0.410979i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.913284 | + | 1.58185i | −0.0348186 | + | 0.0603076i | ||||
\(689\) | 4.36202 | − | 7.55523i | 0.166180 | − | 0.287831i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.82811 | + | 6.63048i | 0.145628 | + | 0.252235i | 0.929607 | − | 0.368552i | \(-0.120146\pi\) |
−0.783979 | + | 0.620787i | \(0.786813\pi\) | |||||||
\(692\) | 22.9812 | 0.873614 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 27.0261 | 1.02590 | ||||||||
\(695\) | 0.667675 | + | 1.15645i | 0.0253263 | + | 0.0438665i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.87500 | − | 4.97965i | 0.108899 | − | 0.188618i | ||||
\(698\) | 9.14403 | − | 15.8379i | 0.346107 | − | 0.599474i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.30185 | + | 3.98692i | 0.0870017 | + | 0.150691i | ||||
\(701\) | 24.9479 | 0.942268 | 0.471134 | − | 0.882062i | \(-0.343845\pi\) | ||||
0.471134 | + | 0.882062i | \(0.343845\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −22.6619 | −0.854711 | ||||||||
\(704\) | 0.805242 | + | 1.39472i | 0.0303487 | + | 0.0525655i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −8.05813 | + | 13.9571i | −0.303272 | + | 0.525282i | ||||
\(707\) | 6.83847 | − | 11.8446i | 0.257187 | − | 0.445461i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.85146 | − | 8.40297i | −0.182200 | − | 0.315580i | 0.760429 | − | 0.649421i | \(-0.224989\pi\) |
−0.942630 | + | 0.333841i | \(0.891655\pi\) | |||||||
\(710\) | 0.169554 | 0.00636324 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −10.3213 | −0.386806 | ||||||||
\(713\) | 13.8474 | + | 23.9844i | 0.518588 | + | 0.898221i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.34293 | + | 2.32602i | −0.0502227 | + | 0.0869882i | ||||
\(716\) | −12.8830 | + | 22.3141i | −0.481462 | + | 0.833916i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.1643 | − | 19.3372i | −0.416649 | − | 0.721658i | ||||
\(719\) | −18.7209 | −0.698171 | −0.349085 | − | 0.937091i | \(-0.613508\pi\) | ||||
−0.349085 | + | 0.937091i | \(0.613508\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.80865 | −0.216325 | ||||||||
\(722\) | 12.7015 | + | 21.9996i | 0.472701 | + | 0.818742i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 8.05402 | − | 13.9500i | 0.299325 | − | 0.518447i | ||||
\(725\) | −24.5518 | + | 42.5250i | −0.911831 | + | 1.57934i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.6566 | + | 28.8501i | 0.617760 | + | 1.06999i | 0.989894 | + | 0.141812i | \(0.0452930\pi\) |
−0.372134 | + | 0.928179i | \(0.621374\pi\) | |||||||
\(728\) | 4.11275 | 0.152428 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −4.06011 | −0.150271 | ||||||||
\(731\) | 1.36666 | + | 2.36712i | 0.0505476 | + | 0.0875510i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.5826 | + | 18.3297i | −0.390878 | + | 0.677021i | −0.992566 | − | 0.121711i | \(-0.961162\pi\) |
0.601687 | + | 0.798732i | \(0.294495\pi\) | |||||||
\(734\) | −2.75113 | + | 4.76509i | −0.101546 | + | 0.175883i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.29283 | − | 5.70336i | −0.121375 | − | 0.210229i | ||||
\(737\) | 18.8270 | 0.693502 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.358645 | −0.0131930 | −0.00659648 | − | 0.999978i | \(-0.502100\pi\) | ||||
−0.00659648 | + | 0.999978i | \(0.502100\pi\) | |||||||
\(740\) | 0.654251 | + | 1.13320i | 0.0240507 | + | 0.0416571i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.954846 | − | 1.65384i | 0.0350535 | − | 0.0607144i | ||||
\(743\) | 11.9620 | − | 20.7188i | 0.438844 | − | 0.760100i | −0.558757 | − | 0.829332i | \(-0.688721\pi\) |
0.997601 | + | 0.0692317i | \(0.0220548\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.40987 | − | 2.44197i | −0.0516538 | − | 0.0894670i | ||||
\(746\) | 11.9036 | 0.435823 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.40996 | 0.0881169 | ||||||||
\(749\) | 8.26368 | + | 14.3131i | 0.301948 | + | 0.522990i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 10.0106 | − | 17.3389i | 0.365293 | − | 0.632706i | −0.623530 | − | 0.781799i | \(-0.714302\pi\) |
0.988823 | + | 0.149093i | \(0.0476355\pi\) | |||||||
\(752\) | 4.74230 | − | 8.21391i | 0.172934 | − | 0.299530i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 21.9335 | + | 37.9900i | 0.798772 | + | 1.38351i | ||||
\(755\) | −6.59522 | −0.240025 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −44.8127 | −1.62874 | −0.814372 | − | 0.580343i | \(-0.802919\pi\) | ||||
−0.814372 | + | 0.580343i | \(0.802919\pi\) | |||||||
\(758\) | 9.16945 | + | 15.8820i | 0.333050 | + | 0.576859i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.28192 | − | 2.22034i | 0.0465000 | − | 0.0805404i | ||||
\(761\) | −12.2073 | + | 21.1437i | −0.442516 | + | 0.766460i | −0.997875 | − | 0.0651506i | \(-0.979247\pi\) |
0.555360 | + | 0.831610i | \(0.312581\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.71698 | + | 8.17006i | 0.170766 | + | 0.295776i | ||||
\(764\) | 11.6215 | 0.420452 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −29.4495 | −1.06405 | ||||||||
\(767\) | 19.5243 | + | 33.8170i | 0.704980 | + | 1.22106i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.00827 | − | 1.74637i | 0.0363590 | − | 0.0629756i | −0.847273 | − | 0.531157i | \(-0.821757\pi\) |
0.883632 | + | 0.468182i | \(0.155091\pi\) | |||||||
\(770\) | −0.293967 | + | 0.509166i | −0.0105938 | + | 0.0183491i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.93074 | + | 5.07620i | 0.105480 | + | 0.182696i | ||||
\(773\) | −24.8601 | −0.894156 | −0.447078 | − | 0.894495i | \(-0.647535\pi\) | ||||
−0.447078 | + | 0.894495i | \(0.647535\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −20.4040 | −0.732933 | ||||||||
\(776\) | 6.57408 | + | 11.3866i | 0.235996 | + | 0.408757i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.45458 | − | 4.25146i | 0.0880010 | − | 0.152422i | ||||
\(779\) | −12.8024 | + | 22.1744i | −0.458693 | + | 0.794480i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.354854 | − | 0.614626i | −0.0126977 | − | 0.0219930i | ||||
\(782\) | −9.85493 | −0.352411 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.09972 | −0.217847 | ||||||||
\(785\) | −0.256552 | − | 0.444360i | −0.00915672 | − | 0.0158599i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 11.0354 | − | 19.1139i | 0.393369 | − | 0.681335i | −0.599522 | − | 0.800358i | \(-0.704643\pi\) |
0.992892 | + | 0.119023i | \(0.0379761\pi\) | |||||||
\(788\) | −0.924759 | + | 1.60173i | −0.0329432 | + | 0.0570592i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.56829 | − | 4.44841i | −0.0913757 | − | 0.158267i | ||||
\(791\) | −8.59526 | −0.305612 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −37.2848 | −1.32402 | ||||||||
\(794\) | 12.8237 | + | 22.2112i | 0.455094 | + | 0.788247i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.41804 | − | 5.92022i | 0.121149 | − | 0.209837i | ||||
\(797\) | −7.99061 | + | 13.8401i | −0.283042 | + | 0.490243i | −0.972132 | − | 0.234432i | \(-0.924677\pi\) |
0.689090 | + | 0.724675i | \(0.258010\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −7.09647 | − | 12.2915i | −0.251055 | − | 0.434840i | ||||
\(800\) | 4.85196 | 0.171543 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −25.0331 | −0.883949 | ||||||||
\(803\) | 8.49729 | + | 14.7177i | 0.299863 | + | 0.519378i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.20211 | − | 2.08211i | 0.0423686 | − | 0.0733846i | ||||
\(806\) | −9.11403 | + | 15.7860i | −0.321028 | + | 0.556037i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −7.20725 | − | 12.4833i | −0.253550 | − | 0.439162i | ||||
\(809\) | 20.8047 | 0.731455 | 0.365728 | − | 0.930722i | \(-0.380820\pi\) | ||||
0.365728 | + | 0.930722i | \(0.380820\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 14.5757 | 0.511823 | 0.255912 | − | 0.966700i | \(-0.417624\pi\) | ||||
0.255912 | + | 0.966700i | \(0.417624\pi\) | |||||||
\(812\) | 4.80126 | + | 8.31602i | 0.168491 | + | 0.291835i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.73853 | − | 4.74327i | 0.0959854 | − | 0.166252i | ||||
\(815\) | −0.324302 | + | 0.561707i | −0.0113598 | + | 0.0196757i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −6.08572 | − | 10.5408i | −0.212912 | − | 0.368775i | ||||
\(818\) | 26.8082 | 0.937326 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.47842 | 0.0516287 | ||||||||
\(821\) | 3.05919 | + | 5.29868i | 0.106767 | + | 0.184925i | 0.914459 | − | 0.404679i | \(-0.132617\pi\) |
−0.807692 | + | 0.589605i | \(0.799284\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 15.2663 | − | 26.4420i | 0.532150 | − | 0.921710i | −0.467146 | − | 0.884180i | \(-0.654718\pi\) |
0.999296 | − | 0.0375298i | \(-0.0119489\pi\) | |||||||
\(824\) | −3.06095 | + | 5.30172i | −0.106633 | + | 0.184694i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.27386 | + | 7.40255i | 0.148707 | + | 0.257568i | ||||
\(827\) | 54.3079 | 1.88847 | 0.944235 | − | 0.329272i | \(-0.106803\pi\) | ||||
0.944235 | + | 0.329272i | \(0.106803\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 26.2193 | 0.910633 | 0.455316 | − | 0.890330i | \(-0.349526\pi\) | ||||
0.455316 | + | 0.890330i | \(0.349526\pi\) | |||||||
\(830\) | −1.53562 | − | 2.65977i | −0.0533022 | − | 0.0923221i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.16727 | − | 3.75382i | 0.0751365 | − | 0.130140i | ||||
\(833\) | −4.56387 | + | 7.90486i | −0.158129 | + | 0.273887i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.599329 | + | 1.03807i | 0.0207407 | + | 0.0359239i | ||||
\(836\) | −10.7316 | −0.371158 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 29.7172 | 1.02656 | ||||||||
\(839\) | 9.25046 | + | 16.0223i | 0.319361 | + | 0.553150i | 0.980355 | − | 0.197241i | \(-0.0631983\pi\) |
−0.660994 | + | 0.750392i | \(0.729865\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −36.7108 | + | 63.5850i | −1.26589 | + | 2.19259i | ||||
\(842\) | 8.73540 | − | 15.1302i | 0.301042 | − | 0.521419i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.06905 | + | 8.77985i | 0.174484 | + | 0.302215i | ||||
\(845\) | 2.22704 | 0.0766126 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.97620 | −0.274065 | ||||||||
\(848\) | −1.00634 | − | 1.74303i | −0.0345578 | − | 0.0598559i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.63029 | − | 6.28784i | 0.124518 | − | 0.215671i | ||||
\(851\) | −11.1985 | + | 19.3964i | −0.383880 | + | 0.664900i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.09210 | + | 8.81978i | 0.174350 | + | 0.301984i | 0.939936 | − | 0.341350i | \(-0.110884\pi\) |
−0.765586 | + | 0.643334i | \(0.777551\pi\) | |||||||
\(854\) | −8.16164 | −0.279286 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 17.4187 | 0.595357 | ||||||||
\(857\) | 5.23626 | + | 9.06947i | 0.178867 | + | 0.309807i | 0.941493 | − | 0.337033i | \(-0.109423\pi\) |
−0.762626 | + | 0.646840i | \(0.776090\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.806961 | − | 1.39770i | 0.0275331 | − | 0.0476888i | −0.851931 | − | 0.523655i | \(-0.824568\pi\) |
0.879464 | + | 0.475966i | \(0.157901\pi\) | |||||||
\(860\) | −0.351390 | + | 0.608625i | −0.0119823 | + | 0.0207539i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.13544 | + | 3.69868i | 0.0727332 | + | 0.125978i | ||||
\(863\) | 3.73210 | 0.127042 | 0.0635211 | − | 0.997980i | \(-0.479767\pi\) | ||||
0.0635211 | + | 0.997980i | \(0.479767\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 8.84212 | 0.300641 | ||||||||
\(866\) | −7.67908 | − | 13.3006i | −0.260946 | − | 0.451971i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −1.99506 | + | 3.45555i | −0.0677168 | + | 0.117289i | ||||
\(869\) | −10.7502 | + | 18.6199i | −0.364676 | + | 0.631637i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −25.3360 | − | 43.8832i | −0.858477 | − | 1.48693i | ||||
\(872\) | 9.94273 | 0.336703 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 43.8840 | 1.48440 | ||||||||
\(875\) | 1.79831 | + | 3.11477i | 0.0607941 | + | 0.105298i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −17.8061 | + | 30.8411i | −0.601270 | + | 1.04143i | 0.391359 | + | 0.920238i | \(0.372005\pi\) |
−0.992629 | + | 0.121193i | \(0.961328\pi\) | |||||||
\(878\) | −7.30751 | + | 12.6570i | −0.246617 | + | 0.427153i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.309820 | + | 0.536625i | 0.0104440 | + | 0.0180896i | ||||
\(881\) | −20.6136 | −0.694489 | −0.347244 | − | 0.937775i | \(-0.612883\pi\) | ||||
−0.347244 | + | 0.937775i | \(0.612883\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.9067 | 0.703568 | 0.351784 | − | 0.936081i | \(-0.385575\pi\) | ||||
0.351784 | + | 0.936081i | \(0.385575\pi\) | |||||||
\(884\) | −3.24315 | − | 5.61729i | −0.109079 | − | 0.188930i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.86520 | − | 4.96267i | 0.0962583 | − | 0.166724i | ||||
\(887\) | 17.9082 | − | 31.0180i | 0.601300 | − | 1.04148i | −0.391325 | − | 0.920253i | \(-0.627983\pi\) |
0.992625 | − | 0.121229i | \(-0.0386836\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.41414 | + | 4.18142i | 0.0809677 | + | 0.140240i | ||||
\(890\) | −3.97116 | −0.133113 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −23.9585 | −0.802191 | ||||||||
\(893\) | 31.6006 | + | 54.7338i | 1.05747 | + | 1.83160i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.95680 | + | 8.58544i | −0.165688 | + | 0.286979i | ||||
\(896\) | 0.474416 | − | 0.821712i | 0.0158491 | − | 0.0274515i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.19444 | + | 2.06883i | 0.0398589 | + | 0.0690377i | ||||
\(899\) | −42.5592 | −1.41943 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.01181 | −0.100338 | ||||||||
\(902\) | −3.09415 | − | 5.35922i | −0.103024 | − | 0.178443i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.52939 | + | 7.84514i | −0.150645 | + | 0.260925i | ||||
\(905\) | 3.09882 | − | 5.36732i | 0.103008 | − | 0.178416i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −16.3897 | − | 28.3878i | −0.544210 | − | 0.942600i | −0.998656 | − | 0.0518256i | \(-0.983496\pi\) |
0.454446 | − | 0.890774i | \(-0.349837\pi\) | |||||||
\(908\) | −7.16454 | −0.237764 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.58240 | 0.0524560 | ||||||||
\(911\) | −17.2837 | − | 29.9362i | −0.572634 | − | 0.991831i | −0.996294 | − | 0.0860099i | \(-0.972588\pi\) |
0.423660 | − | 0.905821i | \(-0.360745\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −6.42772 | + | 11.1331i | −0.212726 | + | 0.368453i | ||||
\(914\) | 9.83789 | − | 17.0397i | 0.325408 | − | 0.563624i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.42354 | − | 7.66180i | −0.146158 | − | 0.253153i | ||||
\(917\) | −0.752123 | −0.0248373 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −19.9647 | −0.658574 | −0.329287 | − | 0.944230i | \(-0.606808\pi\) | ||||
−0.329287 | + | 0.944230i | \(0.606808\pi\) | |||||||
\(920\) | −1.26693 | − | 2.19439i | −0.0417695 | − | 0.0723470i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 4.01181 | − | 6.94866i | 0.132122 | − | 0.228842i | ||||
\(923\) | −0.955073 | + | 1.65423i | −0.0314366 | + | 0.0544498i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −8.25046 | − | 14.2902i | −0.271274 | − | 0.469860i | ||||
\(926\) | −23.9482 | −0.786987 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 10.1204 | 0.332217 | ||||||||
\(929\) | −16.2402 | − | 28.1288i | −0.532823 | − | 0.922877i | −0.999265 | − | 0.0383249i | \(-0.987798\pi\) |
0.466442 | − | 0.884552i | \(-0.345536\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 20.3229 | − | 35.2003i | 0.666057 | − | 1.15364i | ||||
\(932\) | 11.8917 | − | 20.5971i | 0.389527 | − | 0.674680i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −5.67420 | − | 9.82801i | −0.185666 | − | 0.321582i | ||||
\(935\) | 0.927243 | 0.0303241 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 27.5689 | 0.900637 | 0.450318 | − | 0.892868i | \(-0.351310\pi\) | ||||
0.450318 | + | 0.892868i | \(0.351310\pi\) | |||||||
\(938\) | −5.54605 | − | 9.60604i | −0.181085 | − | 0.313648i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.82462 | − | 3.16034i | 0.0595126 | − | 0.103079i | ||||
\(941\) | 1.92868 | − | 3.34056i | 0.0628730 | − | 0.108899i | −0.832875 | − | 0.553460i | \(-0.813307\pi\) |
0.895749 | + | 0.444561i | \(0.146640\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 12.6527 | + | 21.9152i | 0.412030 | + | 0.713657i | ||||
\(944\) | 9.00869 | 0.293208 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.94166 | 0.0956415 | ||||||||
\(947\) | −4.07077 | − | 7.05079i | −0.132282 | − | 0.229120i | 0.792274 | − | 0.610166i | \(-0.208897\pi\) |
−0.924556 | + | 0.381046i | \(0.875564\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 22.8700 | − | 39.6121i | 0.742393 | − | 1.28586i | ||||
\(950\) | −16.1657 | + | 27.9998i | −0.524484 | + | 0.908432i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.709925 | − | 1.22963i | −0.0230088 | − | 0.0398524i | ||||
\(953\) | 24.1615 | 0.782668 | 0.391334 | − | 0.920249i | \(-0.372014\pi\) | ||||
0.391334 | + | 0.920249i | \(0.372014\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.47143 | 0.144692 | ||||||||
\(956\) | 8.04881 | + | 13.9410i | 0.260317 | + | 0.450883i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 17.7905 | − | 30.8141i | 0.574785 | − | 0.995558i | ||||
\(959\) | −3.21309 | + | 5.56523i | −0.103756 | + | 0.179711i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 6.65771 | + | 11.5315i | 0.214765 | + | 0.371983i | ||||
\(962\) | −14.7412 | −0.475276 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 23.2500 | 0.748832 | ||||||||
\(965\) | 1.12762 | + | 1.95309i | 0.0362993 | + | 0.0628722i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −11.0094 | + | 19.0688i | −0.354038 | + | 0.613211i | −0.986953 | − | 0.161010i | \(-0.948525\pi\) |
0.632915 | + | 0.774221i | \(0.281858\pi\) | |||||||
\(968\) | −4.20317 | + | 7.28011i | −0.135095 | + | 0.233991i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.52941 | + | 4.38106i | 0.0812143 | + | 0.140667i | ||||
\(971\) | 3.05626 | 0.0980800 | 0.0490400 | − | 0.998797i | \(-0.484384\pi\) | ||||
0.0490400 | + | 0.998797i | \(0.484384\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.29306 | −0.105571 | ||||||||
\(974\) | −9.51883 | − | 16.4871i | −0.305003 | − | 0.528281i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.30089 | + | 7.44936i | −0.137668 | + | 0.238448i | ||||
\(977\) | 25.2672 | − | 43.7642i | 0.808371 | − | 1.40014i | −0.105621 | − | 0.994406i | \(-0.533683\pi\) |
0.913992 | − | 0.405733i | \(-0.132984\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.31112 | + | 14.3953i | 0.265625 | + | 0.460075i | ||||
\(980\) | −2.34689 | −0.0749688 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −27.0014 | −0.861651 | ||||||||
\(983\) | 4.31652 | + | 7.47643i | 0.137675 | + | 0.238461i | 0.926616 | − | 0.376008i | \(-0.122704\pi\) |
−0.788941 | + | 0.614469i | \(0.789370\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.355805 | + | 0.616272i | −0.0113369 | + | 0.0196361i | ||||
\(986\) | 7.57215 | − | 13.1154i | 0.241147 | − | 0.417678i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 14.4417 | + | 25.0138i | 0.459452 | + | 0.795795i | ||||
\(989\) | −12.0292 | −0.382505 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −24.1555 | −0.767325 | −0.383662 | − | 0.923473i | \(-0.625337\pi\) | ||||
−0.383662 | + | 0.923473i | \(0.625337\pi\) | |||||||
\(992\) | 2.10265 | + | 3.64190i | 0.0667593 | + | 0.115630i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.209066 | + | 0.362112i | −0.00663116 | + | 0.0114855i | ||||
\(995\) | 1.31511 | − | 2.27783i | 0.0416917 | − | 0.0722121i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −6.27186 | − | 10.8632i | −0.198632 | − | 0.344041i | 0.749453 | − | 0.662057i | \(-0.230316\pi\) |
−0.948085 | + | 0.318017i | \(0.896983\pi\) | |||||||
\(998\) | 1.66290 | 0.0526383 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1458.2.c.h.973.2 | 12 | ||
3.2 | odd | 2 | 1458.2.c.e.973.5 | 12 | |||
9.2 | odd | 6 | 1458.2.c.e.487.5 | 12 | |||
9.4 | even | 3 | 1458.2.a.e.1.5 | ✓ | 6 | ||
9.5 | odd | 6 | 1458.2.a.h.1.2 | yes | 6 | ||
9.7 | even | 3 | inner | 1458.2.c.h.487.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1458.2.a.e.1.5 | ✓ | 6 | 9.4 | even | 3 | ||
1458.2.a.h.1.2 | yes | 6 | 9.5 | odd | 6 | ||
1458.2.c.e.487.5 | 12 | 9.2 | odd | 6 | |||
1458.2.c.e.973.5 | 12 | 3.2 | odd | 2 | |||
1458.2.c.h.487.2 | 12 | 9.7 | even | 3 | inner | ||
1458.2.c.h.973.2 | 12 | 1.1 | even | 1 | trivial |