Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(377,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.377");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.m (of order \(6\), 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: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3^{2} \) |
Twist minimal: | no (minimal twist has level 42) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 755.1 | ||
Root | \(-0.258819 - 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.755 |
Dual form | 1134.2.m.g.377.1 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −1.22474 | − | 2.12132i | −0.547723 | − | 0.948683i | −0.998430 | − | 0.0560116i | \(-0.982162\pi\) |
0.450708 | − | 0.892672i | \(-0.351172\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.62132 | + | 0.358719i | 0.990766 | + | 0.135583i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.44949i | 0.774597i | ||||||||
\(11\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.12132 | − | 1.22474i | 0.588348 | − | 0.339683i | −0.176096 | − | 0.984373i | \(-0.556347\pi\) |
0.764444 | + | 0.644690i | \(0.223014\pi\) | |||||||
\(14\) | −2.09077 | − | 1.62132i | −0.558782 | − | 0.433316i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −4.89898 | −1.18818 | −0.594089 | − | 0.804400i | \(-0.702487\pi\) | ||||
−0.594089 | + | 0.804400i | \(0.702487\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 2.44949i | − | 0.561951i | −0.959715 | − | 0.280976i | \(-0.909342\pi\) | ||
0.959715 | − | 0.280976i | \(-0.0906580\pi\) | |||||||
\(20\) | 1.22474 | − | 2.12132i | 0.273861 | − | 0.474342i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.19615 | − | 3.00000i | 1.08347 | − | 0.625543i | 0.151642 | − | 0.988436i | \(-0.451544\pi\) |
0.931831 | + | 0.362892i | \(0.118211\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −2.44949 | −0.480384 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.00000 | + | 2.44949i | 0.188982 | + | 0.462910i | ||||
\(29\) | 5.19615 | + | 3.00000i | 0.964901 | + | 0.557086i | 0.897678 | − | 0.440652i | \(-0.145253\pi\) |
0.0672232 | + | 0.997738i | \(0.478586\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.24264 | + | 2.44949i | 0.727607 | + | 0.420084i | ||||
\(35\) | −2.44949 | − | 6.00000i | −0.414039 | − | 1.01419i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.00000 | −0.328798 | −0.164399 | − | 0.986394i | \(-0.552568\pi\) | ||||
−0.164399 | + | 0.986394i | \(0.552568\pi\) | |||||||
\(38\) | −1.22474 | + | 2.12132i | −0.198680 | + | 0.344124i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.12132 | + | 1.22474i | −0.335410 | + | 0.193649i | ||||
\(41\) | −2.44949 | − | 4.24264i | −0.382546 | − | 0.662589i | 0.608879 | − | 0.793263i | \(-0.291619\pi\) |
−0.991425 | + | 0.130674i | \(0.958286\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.00000 | + | 3.46410i | −0.304997 | + | 0.528271i | −0.977261 | − | 0.212041i | \(-0.931989\pi\) |
0.672264 | + | 0.740312i | \(0.265322\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.00000 | −0.884652 | ||||||||
\(47\) | 2.44949 | − | 4.24264i | 0.357295 | − | 0.618853i | −0.630213 | − | 0.776422i | \(-0.717032\pi\) |
0.987508 | + | 0.157569i | \(0.0503658\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.74264 | + | 1.88064i | 0.963234 | + | 0.268662i | ||||
\(50\) | 0.866025 | − | 0.500000i | 0.122474 | − | 0.0707107i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.12132 | + | 1.22474i | 0.294174 | + | 0.169842i | ||||
\(53\) | 6.00000i | 0.824163i | 0.911147 | + | 0.412082i | \(0.135198\pi\) | ||||
−0.911147 | + | 0.412082i | \(0.864802\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.358719 | − | 2.62132i | 0.0479359 | − | 0.350289i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.00000 | − | 5.19615i | −0.393919 | − | 0.682288i | ||||
\(59\) | −6.12372 | − | 10.6066i | −0.797241 | − | 1.38086i | −0.921406 | − | 0.388600i | \(-0.872959\pi\) |
0.124165 | − | 0.992262i | \(-0.460375\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.6066 | − | 6.12372i | −1.35804 | − | 0.784063i | −0.368677 | − | 0.929557i | \(-0.620189\pi\) |
−0.989359 | + | 0.145495i | \(0.953523\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −5.19615 | − | 3.00000i | −0.644503 | − | 0.372104i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.00000 | − | 6.92820i | −0.488678 | − | 0.846415i | 0.511237 | − | 0.859440i | \(-0.329187\pi\) |
−0.999915 | + | 0.0130248i | \(0.995854\pi\) | |||||||
\(68\) | −2.44949 | − | 4.24264i | −0.297044 | − | 0.514496i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.878680 | + | 6.42090i | −0.105022 | + | 0.767444i | ||||
\(71\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 9.79796i | − | 1.14676i | −0.819288 | − | 0.573382i | \(-0.805631\pi\) | ||
0.819288 | − | 0.573382i | \(-0.194369\pi\) | |||||||
\(74\) | 1.73205 | + | 1.00000i | 0.201347 | + | 0.116248i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.12132 | − | 1.22474i | 0.243332 | − | 0.140488i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.00000 | − | 8.66025i | 0.562544 | − | 0.974355i | −0.434730 | − | 0.900561i | \(-0.643156\pi\) |
0.997274 | − | 0.0737937i | \(-0.0235106\pi\) | |||||||
\(80\) | 2.44949 | 0.273861 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.89898i | 0.541002i | ||||||||
\(83\) | 1.22474 | − | 2.12132i | 0.134433 | − | 0.232845i | −0.790948 | − | 0.611884i | \(-0.790412\pi\) |
0.925381 | + | 0.379039i | \(0.123745\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.00000 | + | 10.3923i | 0.650791 | + | 1.12720i | ||||
\(86\) | 3.46410 | − | 2.00000i | 0.373544 | − | 0.215666i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.00000 | − | 2.44949i | 0.628971 | − | 0.256776i | ||||
\(92\) | 5.19615 | + | 3.00000i | 0.541736 | + | 0.312772i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.24264 | + | 2.44949i | −0.437595 | + | 0.252646i | ||||
\(95\) | −5.19615 | + | 3.00000i | −0.533114 | + | 0.307794i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.24264 | + | 2.44949i | 0.430775 | + | 0.248708i | 0.699677 | − | 0.714460i | \(-0.253327\pi\) |
−0.268902 | + | 0.963168i | \(0.586661\pi\) | |||||||
\(98\) | −4.89898 | − | 5.00000i | −0.494872 | − | 0.505076i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.00000 | −0.100000 | ||||||||
\(101\) | 3.67423 | − | 6.36396i | 0.365600 | − | 0.633238i | −0.623272 | − | 0.782005i | \(-0.714197\pi\) |
0.988872 | + | 0.148767i | \(0.0475305\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.48528 | + | 4.89898i | −0.836080 | + | 0.482711i | −0.855930 | − | 0.517092i | \(-0.827014\pi\) |
0.0198501 | + | 0.999803i | \(0.493681\pi\) | |||||||
\(104\) | −1.22474 | − | 2.12132i | −0.120096 | − | 0.208013i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.00000 | − | 5.19615i | 0.291386 | − | 0.504695i | ||||
\(107\) | − | 12.0000i | − | 1.16008i | −0.814587 | − | 0.580042i | \(-0.803036\pi\) | ||
0.814587 | − | 0.580042i | \(-0.196964\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.0000 | 0.957826 | 0.478913 | − | 0.877862i | \(-0.341031\pi\) | ||||
0.478913 | + | 0.877862i | \(0.341031\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.62132 | + | 2.09077i | −0.153200 | + | 0.197559i | ||||
\(113\) | 5.19615 | − | 3.00000i | 0.488813 | − | 0.282216i | −0.235269 | − | 0.971930i | \(-0.575597\pi\) |
0.724082 | + | 0.689714i | \(0.242264\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12.7279 | − | 7.34847i | −1.18688 | − | 0.685248i | ||||
\(116\) | 6.00000i | 0.557086i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 12.2474i | 1.12747i | ||||||||
\(119\) | −12.8418 | − | 1.75736i | −1.17721 | − | 0.161097i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.50000 | − | 9.52628i | −0.500000 | − | 0.866025i | ||||
\(122\) | 6.12372 | + | 10.6066i | 0.554416 | + | 0.960277i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.79796 | −0.876356 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.00000 | 0.709885 | 0.354943 | − | 0.934888i | \(-0.384500\pi\) | ||||
0.354943 | + | 0.934888i | \(0.384500\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.00000 | + | 5.19615i | 0.263117 | + | 0.455733i | ||||
\(131\) | 3.67423 | + | 6.36396i | 0.321019 | + | 0.556022i | 0.980699 | − | 0.195525i | \(-0.0626412\pi\) |
−0.659679 | + | 0.751547i | \(0.729308\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.878680 | − | 6.42090i | 0.0761912 | − | 0.556762i | ||||
\(134\) | 8.00000i | 0.691095i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.89898i | 0.420084i | ||||||||
\(137\) | 10.3923 | + | 6.00000i | 0.887875 | + | 0.512615i | 0.873247 | − | 0.487278i | \(-0.162010\pi\) |
0.0146279 | + | 0.999893i | \(0.495344\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.12132 | + | 1.22474i | −0.179928 | + | 0.103882i | −0.587259 | − | 0.809399i | \(-0.699793\pi\) |
0.407331 | + | 0.913281i | \(0.366460\pi\) | |||||||
\(140\) | 3.97141 | − | 5.12132i | 0.335645 | − | 0.432831i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 14.6969i | − | 1.22051i | ||||||
\(146\) | −4.89898 | + | 8.48528i | −0.405442 | + | 0.702247i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.00000 | − | 1.73205i | −0.0821995 | − | 0.142374i | ||||
\(149\) | −5.19615 | + | 3.00000i | −0.425685 | + | 0.245770i | −0.697507 | − | 0.716578i | \(-0.745707\pi\) |
0.271821 | + | 0.962348i | \(0.412374\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.00000 | − | 6.92820i | 0.325515 | − | 0.563809i | −0.656101 | − | 0.754673i | \(-0.727796\pi\) |
0.981617 | + | 0.190864i | \(0.0611289\pi\) | |||||||
\(152\) | −2.44949 | −0.198680 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.36396 | − | 3.67423i | 0.507899 | − | 0.293236i | −0.224070 | − | 0.974573i | \(-0.571935\pi\) |
0.731970 | + | 0.681337i | \(0.238601\pi\) | |||||||
\(158\) | −8.66025 | + | 5.00000i | −0.688973 | + | 0.397779i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.12132 | − | 1.22474i | −0.167705 | − | 0.0968246i | ||||
\(161\) | 14.6969 | − | 6.00000i | 1.15828 | − | 0.472866i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −16.0000 | −1.25322 | −0.626608 | − | 0.779334i | \(-0.715557\pi\) | ||||
−0.626608 | + | 0.779334i | \(0.715557\pi\) | |||||||
\(164\) | 2.44949 | − | 4.24264i | 0.191273 | − | 0.331295i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.12132 | + | 1.22474i | −0.164646 | + | 0.0950586i | ||||
\(167\) | 2.44949 | + | 4.24264i | 0.189547 | + | 0.328305i | 0.945099 | − | 0.326783i | \(-0.105965\pi\) |
−0.755552 | + | 0.655089i | \(0.772631\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.50000 | + | 6.06218i | −0.269231 | + | 0.466321i | ||||
\(170\) | − | 12.0000i | − | 0.920358i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.00000 | −0.304997 | ||||||||
\(173\) | −11.0227 | + | 19.0919i | −0.838041 | + | 1.45153i | 0.0534899 | + | 0.998568i | \(0.482966\pi\) |
−0.891531 | + | 0.452961i | \(0.850368\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.62132 | + | 2.09077i | −0.122560 | + | 0.158047i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 24.0000i | 1.79384i | 0.442189 | + | 0.896922i | \(0.354202\pi\) | ||||
−0.442189 | + | 0.896922i | \(0.645798\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 12.2474i | − | 0.910346i | −0.890403 | − | 0.455173i | \(-0.849577\pi\) | ||
0.890403 | − | 0.455173i | \(-0.150423\pi\) | |||||||
\(182\) | −6.42090 | − | 0.878680i | −0.475949 | − | 0.0651321i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.00000 | − | 5.19615i | −0.221163 | − | 0.383065i | ||||
\(185\) | 2.44949 | + | 4.24264i | 0.180090 | + | 0.311925i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 4.89898 | 0.357295 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.00000 | 0.435286 | ||||||||
\(191\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.00000 | − | 3.46410i | −0.143963 | − | 0.249351i | 0.785022 | − | 0.619467i | \(-0.212651\pi\) |
−0.928986 | + | 0.370116i | \(0.879318\pi\) | |||||||
\(194\) | −2.44949 | − | 4.24264i | −0.175863 | − | 0.304604i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.74264 | + | 6.77962i | 0.124474 | + | 0.484258i | ||||
\(197\) | 18.0000i | 1.28245i | 0.767354 | + | 0.641223i | \(0.221573\pi\) | ||||
−0.767354 | + | 0.641223i | \(0.778427\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.79796i | 0.694559i | 0.937762 | + | 0.347279i | \(0.112894\pi\) | ||||
−0.937762 | + | 0.347279i | \(0.887106\pi\) | |||||||
\(200\) | 0.866025 | + | 0.500000i | 0.0612372 | + | 0.0353553i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.36396 | + | 3.67423i | −0.447767 | + | 0.258518i | ||||
\(203\) | 12.5446 | + | 9.72792i | 0.880460 | + | 0.682766i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.00000 | + | 10.3923i | −0.419058 | + | 0.725830i | ||||
\(206\) | 9.79796 | 0.682656 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.44949i | 0.169842i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.00000 | + | 6.92820i | 0.275371 | + | 0.476957i | 0.970229 | − | 0.242190i | \(-0.0778659\pi\) |
−0.694857 | + | 0.719148i | \(0.744533\pi\) | |||||||
\(212\) | −5.19615 | + | 3.00000i | −0.356873 | + | 0.206041i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −6.00000 | + | 10.3923i | −0.410152 | + | 0.710403i | ||||
\(215\) | 9.79796 | 0.668215 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −8.66025 | − | 5.00000i | −0.586546 | − | 0.338643i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.3923 | + | 6.00000i | −0.699062 | + | 0.403604i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.7279 | − | 7.34847i | −0.852325 | − | 0.492090i | 0.00910984 | − | 0.999959i | \(-0.497100\pi\) |
−0.861435 | + | 0.507869i | \(0.830434\pi\) | |||||||
\(224\) | 2.44949 | − | 1.00000i | 0.163663 | − | 0.0668153i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.00000 | −0.399114 | ||||||||
\(227\) | −3.67423 | + | 6.36396i | −0.243868 | + | 0.422391i | −0.961813 | − | 0.273709i | \(-0.911750\pi\) |
0.717945 | + | 0.696100i | \(0.245083\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.0919 | − | 11.0227i | 1.26163 | − | 0.728401i | 0.288238 | − | 0.957559i | \(-0.406931\pi\) |
0.973389 | + | 0.229158i | \(0.0735973\pi\) | |||||||
\(230\) | 7.34847 | + | 12.7279i | 0.484544 | + | 0.839254i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.00000 | − | 5.19615i | 0.196960 | − | 0.341144i | ||||
\(233\) | − | 24.0000i | − | 1.57229i | −0.618041 | − | 0.786146i | \(-0.712073\pi\) | ||
0.618041 | − | 0.786146i | \(-0.287927\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.0000 | −0.782794 | ||||||||
\(236\) | 6.12372 | − | 10.6066i | 0.398621 | − | 0.690431i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 10.2426 | + | 7.94282i | 0.663932 | + | 0.514856i | ||||
\(239\) | −5.19615 | + | 3.00000i | −0.336111 | + | 0.194054i | −0.658551 | − | 0.752536i | \(-0.728830\pi\) |
0.322440 | + | 0.946590i | \(0.395497\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 21.2132 | + | 12.2474i | 1.36646 | + | 0.788928i | 0.990474 | − | 0.137697i | \(-0.0439700\pi\) |
0.375988 | + | 0.926624i | \(0.377303\pi\) | |||||||
\(242\) | 11.0000i | 0.707107i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 12.2474i | − | 0.784063i | ||||||
\(245\) | −4.26858 | − | 16.6066i | −0.272710 | − | 1.06096i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.00000 | − | 5.19615i | −0.190885 | − | 0.330623i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.48528 | + | 4.89898i | 0.536656 | + | 0.309839i | ||||
\(251\) | 17.1464 | 1.08227 | 0.541136 | − | 0.840935i | \(-0.317994\pi\) | ||||
0.541136 | + | 0.840935i | \(0.317994\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −6.92820 | − | 4.00000i | −0.434714 | − | 0.250982i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 14.6969 | + | 25.4558i | 0.916770 | + | 1.58789i | 0.804289 | + | 0.594238i | \(0.202546\pi\) |
0.112481 | + | 0.993654i | \(0.464120\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.24264 | − | 0.717439i | −0.325762 | − | 0.0445795i | ||||
\(260\) | − | 6.00000i | − | 0.372104i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 7.34847i | − | 0.453990i | ||||||
\(263\) | 20.7846 | + | 12.0000i | 1.28163 | + | 0.739952i | 0.977147 | − | 0.212565i | \(-0.0681817\pi\) |
0.304487 | + | 0.952517i | \(0.401515\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.7279 | − | 7.34847i | 0.781870 | − | 0.451413i | ||||
\(266\) | −3.97141 | + | 5.12132i | −0.243503 | + | 0.314008i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.00000 | − | 6.92820i | 0.244339 | − | 0.423207i | ||||
\(269\) | 12.2474 | 0.746740 | 0.373370 | − | 0.927682i | \(-0.378202\pi\) | ||||
0.373370 | + | 0.927682i | \(0.378202\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 24.4949i | 1.48796i | 0.668202 | + | 0.743980i | \(0.267064\pi\) | ||||
−0.668202 | + | 0.743980i | \(0.732936\pi\) | |||||||
\(272\) | 2.44949 | − | 4.24264i | 0.148522 | − | 0.257248i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.00000 | − | 10.3923i | −0.362473 | − | 0.627822i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.0000 | − | 19.0526i | 0.660926 | − | 1.14476i | −0.319447 | − | 0.947604i | \(-0.603497\pi\) |
0.980373 | − | 0.197153i | \(-0.0631696\pi\) | |||||||
\(278\) | 2.44949 | 0.146911 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.00000 | + | 2.44949i | −0.358569 | + | 0.146385i | ||||
\(281\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −19.0919 | + | 11.0227i | −1.13489 | + | 0.655232i | −0.945161 | − | 0.326604i | \(-0.894096\pi\) |
−0.189733 | + | 0.981836i | \(0.560762\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.89898 | − | 12.0000i | −0.289178 | − | 0.708338i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.00000 | 0.411765 | ||||||||
\(290\) | −7.34847 | + | 12.7279i | −0.431517 | + | 0.747409i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.48528 | − | 4.89898i | 0.496564 | − | 0.286691i | ||||
\(293\) | 1.22474 | + | 2.12132i | 0.0715504 | + | 0.123929i | 0.899581 | − | 0.436754i | \(-0.143872\pi\) |
−0.828031 | + | 0.560683i | \(0.810539\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.0000 | + | 25.9808i | −0.873334 | + | 1.51266i | ||||
\(296\) | 2.00000i | 0.116248i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.00000 | 0.347571 | ||||||||
\(299\) | 7.34847 | − | 12.7279i | 0.424973 | − | 0.736075i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.48528 | + | 8.36308i | −0.373805 | + | 0.482040i | ||||
\(302\) | −6.92820 | + | 4.00000i | −0.398673 | + | 0.230174i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.12132 | + | 1.22474i | 0.121666 | + | 0.0702439i | ||||
\(305\) | 30.0000i | 1.71780i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.34847i | 0.419399i | 0.977766 | + | 0.209700i | \(0.0672486\pi\) | ||||
−0.977766 | + | 0.209700i | \(0.932751\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.79796 | + | 16.9706i | 0.555591 | + | 0.962312i | 0.997857 | + | 0.0654284i | \(0.0208414\pi\) |
−0.442266 | + | 0.896884i | \(0.645825\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 29.6985 | + | 17.1464i | 1.67866 | + | 0.969173i | 0.962519 | + | 0.271216i | \(0.0874257\pi\) |
0.716139 | + | 0.697958i | \(0.245908\pi\) | |||||||
\(314\) | −7.34847 | −0.414698 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 10.0000 | 0.562544 | ||||||||
\(317\) | −15.5885 | − | 9.00000i | −0.875535 | − | 0.505490i | −0.00635137 | − | 0.999980i | \(-0.502022\pi\) |
−0.869184 | + | 0.494489i | \(0.835355\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 1.22474 | + | 2.12132i | 0.0684653 | + | 0.118585i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −15.7279 | − | 2.15232i | −0.876483 | − | 0.119944i | ||||
\(323\) | 12.0000i | 0.667698i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.44949i | 0.135873i | ||||||||
\(326\) | 13.8564 | + | 8.00000i | 0.767435 | + | 0.443079i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.24264 | + | 2.44949i | −0.234261 | + | 0.135250i | ||||
\(329\) | 7.94282 | − | 10.2426i | 0.437902 | − | 0.564695i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.00000 | − | 6.92820i | 0.219860 | − | 0.380808i | −0.734905 | − | 0.678170i | \(-0.762773\pi\) |
0.954765 | + | 0.297361i | \(0.0961066\pi\) | |||||||
\(332\) | 2.44949 | 0.134433 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | − | 4.89898i | − | 0.268060i | ||||||
\(335\) | −9.79796 | + | 16.9706i | −0.535320 | + | 0.927201i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.0000 | + | 27.7128i | 0.871576 | + | 1.50961i | 0.860366 | + | 0.509676i | \(0.170235\pi\) |
0.0112091 | + | 0.999937i | \(0.496432\pi\) | |||||||
\(338\) | 6.06218 | − | 3.50000i | 0.329739 | − | 0.190375i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.00000 | + | 10.3923i | −0.325396 | + | 0.563602i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.0000 | + | 7.34847i | 0.917914 | + | 0.396780i | ||||
\(344\) | 3.46410 | + | 2.00000i | 0.186772 | + | 0.107833i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 19.0919 | − | 11.0227i | 1.02639 | − | 0.592584i | ||||
\(347\) | −10.3923 | + | 6.00000i | −0.557888 | + | 0.322097i | −0.752297 | − | 0.658824i | \(-0.771054\pi\) |
0.194409 | + | 0.980921i | \(0.437721\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.12132 | + | 1.22474i | 0.113552 | + | 0.0655591i | 0.555700 | − | 0.831383i | \(-0.312450\pi\) |
−0.442149 | + | 0.896942i | \(0.645784\pi\) | |||||||
\(350\) | 2.44949 | − | 1.00000i | 0.130931 | − | 0.0534522i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −4.89898 | + | 8.48528i | −0.260746 | + | 0.451626i | −0.966440 | − | 0.256891i | \(-0.917302\pi\) |
0.705694 | + | 0.708517i | \(0.250635\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 12.0000 | − | 20.7846i | 0.634220 | − | 1.09850i | ||||
\(359\) | − | 6.00000i | − | 0.316668i | −0.987386 | − | 0.158334i | \(-0.949388\pi\) | ||
0.987386 | − | 0.158334i | \(-0.0506123\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.0000 | 0.684211 | ||||||||
\(362\) | −6.12372 | + | 10.6066i | −0.321856 | + | 0.557471i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.12132 | + | 3.97141i | 0.268430 | + | 0.208158i | ||||
\(365\) | −20.7846 | + | 12.0000i | −1.08792 | + | 0.628109i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.24264 | + | 2.44949i | 0.221464 | + | 0.127862i | 0.606628 | − | 0.794986i | \(-0.292522\pi\) |
−0.385164 | + | 0.922848i | \(0.625855\pi\) | |||||||
\(368\) | 6.00000i | 0.312772i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 4.89898i | − | 0.254686i | ||||||
\(371\) | −2.15232 | + | 15.7279i | −0.111743 | + | 0.816553i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.00000 | − | 12.1244i | −0.362446 | − | 0.627775i | 0.625917 | − | 0.779890i | \(-0.284725\pi\) |
−0.988363 | + | 0.152115i | \(0.951392\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.24264 | − | 2.44949i | −0.218797 | − | 0.126323i | ||||
\(377\) | 14.6969 | 0.756931 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.0000 | −1.02733 | −0.513665 | − | 0.857991i | \(-0.671713\pi\) | ||||
−0.513665 | + | 0.857991i | \(0.671713\pi\) | |||||||
\(380\) | −5.19615 | − | 3.00000i | −0.266557 | − | 0.153897i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −17.1464 | − | 29.6985i | −0.876142 | − | 1.51752i | −0.855542 | − | 0.517734i | \(-0.826776\pi\) |
−0.0205998 | − | 0.999788i | \(-0.506558\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.00000i | 0.203595i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.89898i | 0.248708i | ||||||||
\(389\) | 5.19615 | + | 3.00000i | 0.263455 | + | 0.152106i | 0.625910 | − | 0.779895i | \(-0.284728\pi\) |
−0.362454 | + | 0.932002i | \(0.618061\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −25.4558 | + | 14.6969i | −1.28736 | + | 0.743256i | ||||
\(392\) | 1.88064 | − | 6.74264i | 0.0949865 | − | 0.340555i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 9.00000 | − | 15.5885i | 0.453413 | − | 0.785335i | ||||
\(395\) | −24.4949 | −1.23247 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.34847i | 0.368809i | 0.982850 | + | 0.184405i | \(0.0590357\pi\) | ||||
−0.982850 | + | 0.184405i | \(0.940964\pi\) | |||||||
\(398\) | 4.89898 | − | 8.48528i | 0.245564 | − | 0.425329i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.500000 | − | 0.866025i | −0.0250000 | − | 0.0433013i | ||||
\(401\) | 25.9808 | − | 15.0000i | 1.29742 | − | 0.749064i | 0.317460 | − | 0.948272i | \(-0.397170\pi\) |
0.979957 | + | 0.199207i | \(0.0638367\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 7.34847 | 0.365600 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −6.00000 | − | 14.6969i | −0.297775 | − | 0.729397i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 29.6985 | − | 17.1464i | 1.46850 | − | 0.847836i | 0.469119 | − | 0.883135i | \(-0.344572\pi\) |
0.999377 | + | 0.0352988i | \(0.0112383\pi\) | |||||||
\(410\) | 10.3923 | − | 6.00000i | 0.513239 | − | 0.296319i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −8.48528 | − | 4.89898i | −0.418040 | − | 0.241355i | ||||
\(413\) | −12.2474 | − | 30.0000i | −0.602658 | − | 1.47620i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.00000 | −0.294528 | ||||||||
\(416\) | 1.22474 | − | 2.12132i | 0.0600481 | − | 0.104006i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.12372 | + | 10.6066i | 0.299164 | + | 0.518166i | 0.975945 | − | 0.218018i | \(-0.0699591\pi\) |
−0.676781 | + | 0.736184i | \(0.736626\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.00000 | + | 1.73205i | −0.0487370 | + | 0.0844150i | −0.889365 | − | 0.457198i | \(-0.848853\pi\) |
0.840628 | + | 0.541613i | \(0.182186\pi\) | |||||||
\(422\) | − | 8.00000i | − | 0.389434i | ||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.00000 | 0.291386 | ||||||||
\(425\) | 2.44949 | − | 4.24264i | 0.118818 | − | 0.205798i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −25.6066 | − | 19.8570i | −1.23919 | − | 0.960949i | ||||
\(428\) | 10.3923 | − | 6.00000i | 0.502331 | − | 0.290021i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.48528 | − | 4.89898i | −0.409197 | − | 0.236250i | ||||
\(431\) | 30.0000i | 1.44505i | 0.691345 | + | 0.722525i | \(0.257018\pi\) | ||||
−0.691345 | + | 0.722525i | \(0.742982\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 14.6969i | 0.706290i | 0.935569 | + | 0.353145i | \(0.114888\pi\) | ||||
−0.935569 | + | 0.353145i | \(0.885112\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.00000 | + | 8.66025i | 0.239457 | + | 0.414751i | ||||
\(437\) | −7.34847 | − | 12.7279i | −0.351525 | − | 0.608859i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.7279 | + | 7.34847i | 0.607471 | + | 0.350723i | 0.771975 | − | 0.635653i | \(-0.219269\pi\) |
−0.164504 | + | 0.986376i | \(0.552602\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 12.0000 | 0.570782 | ||||||||
\(443\) | −31.1769 | − | 18.0000i | −1.48126 | − | 0.855206i | −0.481486 | − | 0.876454i | \(-0.659903\pi\) |
−0.999774 | + | 0.0212481i | \(0.993236\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 7.34847 | + | 12.7279i | 0.347960 | + | 0.602685i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.62132 | − | 0.358719i | −0.123846 | − | 0.0169479i | ||||
\(449\) | − | 36.0000i | − | 1.69895i | −0.527633 | − | 0.849473i | \(-0.676920\pi\) | ||
0.527633 | − | 0.849473i | \(-0.323080\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 5.19615 | + | 3.00000i | 0.244406 | + | 0.141108i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.36396 | − | 3.67423i | 0.298675 | − | 0.172440i | ||||
\(455\) | −12.5446 | − | 9.72792i | −0.588101 | − | 0.456052i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.0000 | + | 24.2487i | −0.654892 | + | 1.13431i | 0.327028 | + | 0.945015i | \(0.393953\pi\) |
−0.981921 | + | 0.189292i | \(0.939381\pi\) | |||||||
\(458\) | −22.0454 | −1.03011 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 14.6969i | − | 0.685248i | ||||||
\(461\) | 15.9217 | − | 27.5772i | 0.741547 | − | 1.28440i | −0.210244 | − | 0.977649i | \(-0.567426\pi\) |
0.951791 | − | 0.306748i | \(-0.0992408\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.00000 | − | 12.1244i | −0.325318 | − | 0.563467i | 0.656259 | − | 0.754536i | \(-0.272138\pi\) |
−0.981577 | + | 0.191069i | \(0.938805\pi\) | |||||||
\(464\) | −5.19615 | + | 3.00000i | −0.241225 | + | 0.139272i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.0000 | + | 20.7846i | −0.555889 | + | 0.962828i | ||||
\(467\) | 7.34847 | 0.340047 | 0.170023 | − | 0.985440i | \(-0.445616\pi\) | ||||
0.170023 | + | 0.985440i | \(0.445616\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.00000 | − | 19.5959i | −0.369406 | − | 0.904855i | ||||
\(470\) | 10.3923 | + | 6.00000i | 0.479361 | + | 0.276759i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −10.6066 | + | 6.12372i | −0.488208 | + | 0.281867i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.12132 | + | 1.22474i | 0.0973329 | + | 0.0561951i | ||||
\(476\) | −4.89898 | − | 12.0000i | −0.224544 | − | 0.550019i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.00000 | 0.274434 | ||||||||
\(479\) | 12.2474 | − | 21.2132i | 0.559600 | − | 0.969256i | −0.437929 | − | 0.899009i | \(-0.644288\pi\) |
0.997530 | − | 0.0702467i | \(-0.0223786\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.24264 | + | 2.44949i | −0.193448 | + | 0.111687i | ||||
\(482\) | −12.2474 | − | 21.2132i | −0.557856 | − | 0.966235i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.50000 | − | 9.52628i | 0.250000 | − | 0.433013i | ||||
\(485\) | − | 12.0000i | − | 0.544892i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −32.0000 | −1.45006 | −0.725029 | − | 0.688718i | \(-0.758174\pi\) | ||||
−0.725029 | + | 0.688718i | \(0.758174\pi\) | |||||||
\(488\) | −6.12372 | + | 10.6066i | −0.277208 | + | 0.480138i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.60660 | + | 16.5160i | −0.208105 | + | 0.746118i | ||||
\(491\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −25.4558 | − | 14.6969i | −1.14647 | − | 0.661917i | ||||
\(494\) | 6.00000i | 0.269953i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.0000 | + | 17.3205i | 0.447661 | + | 0.775372i | 0.998233 | − | 0.0594153i | \(-0.0189236\pi\) |
−0.550572 | + | 0.834788i | \(0.685590\pi\) | |||||||
\(500\) | −4.89898 | − | 8.48528i | −0.219089 | − | 0.379473i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −14.8492 | − | 8.57321i | −0.662754 | − | 0.382641i | ||||
\(503\) | −39.1918 | −1.74748 | −0.873739 | − | 0.486395i | \(-0.838311\pi\) | ||||
−0.873739 | + | 0.486395i | \(0.838311\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −18.0000 | −0.800989 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.00000 | + | 6.92820i | 0.177471 | + | 0.307389i | ||||
\(509\) | −6.12372 | − | 10.6066i | −0.271429 | − | 0.470129i | 0.697799 | − | 0.716294i | \(-0.254163\pi\) |
−0.969228 | + | 0.246165i | \(0.920830\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.51472 | − | 25.6836i | 0.155482 | − | 1.13618i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 29.3939i | − | 1.29651i | ||||||
\(515\) | 20.7846 | + | 12.0000i | 0.915879 | + | 0.528783i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 4.18154 | + | 3.24264i | 0.183726 | + | 0.142473i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.00000 | + | 5.19615i | −0.131559 | + | 0.227866i | ||||
\(521\) | 4.89898 | 0.214628 | 0.107314 | − | 0.994225i | \(-0.465775\pi\) | ||||
0.107314 | + | 0.994225i | \(0.465775\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.44949i | 0.107109i | 0.998565 | + | 0.0535544i | \(0.0170550\pi\) | ||||
−0.998565 | + | 0.0535544i | \(0.982945\pi\) | |||||||
\(524\) | −3.67423 | + | 6.36396i | −0.160510 | + | 0.278011i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.0000 | − | 20.7846i | −0.523225 | − | 0.906252i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.50000 | − | 11.2583i | 0.282609 | − | 0.489493i | ||||
\(530\) | −14.6969 | −0.638394 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 6.00000 | − | 2.44949i | 0.260133 | − | 0.106199i | ||||
\(533\) | −10.3923 | − | 6.00000i | −0.450141 | − | 0.259889i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −25.4558 | + | 14.6969i | −1.10055 | + | 0.635404i | ||||
\(536\) | −6.92820 | + | 4.00000i | −0.299253 | + | 0.172774i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.6066 | − | 6.12372i | −0.457283 | − | 0.264013i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.00000 | 0.0859867 | 0.0429934 | − | 0.999075i | \(-0.486311\pi\) | ||||
0.0429934 | + | 0.999075i | \(0.486311\pi\) | |||||||
\(542\) | 12.2474 | − | 21.2132i | 0.526073 | − | 0.911185i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.24264 | + | 2.44949i | −0.181902 | + | 0.105021i | ||||
\(545\) | −12.2474 | − | 21.2132i | −0.524623 | − | 0.908674i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.00000 | + | 6.92820i | −0.171028 | + | 0.296229i | −0.938779 | − | 0.344519i | \(-0.888042\pi\) |
0.767752 | + | 0.640747i | \(0.221375\pi\) | |||||||
\(548\) | 12.0000i | 0.512615i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 7.34847 | − | 12.7279i | 0.313055 | − | 0.542228i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 16.2132 | − | 20.9077i | 0.689456 | − | 0.889086i | ||||
\(554\) | −19.0526 | + | 11.0000i | −0.809466 | + | 0.467345i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.12132 | − | 1.22474i | −0.0899640 | − | 0.0519408i | ||||
\(557\) | 18.0000i | 0.762684i | 0.924434 | + | 0.381342i | \(0.124538\pi\) | ||||
−0.924434 | + | 0.381342i | \(0.875462\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.79796i | 0.414410i | ||||||||
\(560\) | 6.42090 | + | 0.878680i | 0.271332 | + | 0.0371310i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −11.0227 | − | 19.0919i | −0.464552 | − | 0.804627i | 0.534630 | − | 0.845087i | \(-0.320451\pi\) |
−0.999181 | + | 0.0404596i | \(0.987118\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −12.7279 | − | 7.34847i | −0.535468 | − | 0.309152i | ||||
\(566\) | 22.0454 | 0.926638 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 5.19615 | + | 3.00000i | 0.217834 | + | 0.125767i | 0.604947 | − | 0.796266i | \(-0.293194\pi\) |
−0.387113 | + | 0.922032i | \(0.626528\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.0000 | − | 27.7128i | −0.669579 | − | 1.15975i | −0.978022 | − | 0.208502i | \(-0.933141\pi\) |
0.308443 | − | 0.951243i | \(-0.400192\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.75736 | + | 12.8418i | −0.0733508 | + | 0.536006i | ||||
\(575\) | 6.00000i | 0.250217i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 19.5959i | 0.815789i | 0.913029 | + | 0.407894i | \(0.133737\pi\) | ||||
−0.913029 | + | 0.407894i | \(0.866263\pi\) | |||||||
\(578\) | −6.06218 | − | 3.50000i | −0.252153 | − | 0.145581i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 12.7279 | − | 7.34847i | 0.528498 | − | 0.305129i | ||||
\(581\) | 3.97141 | − | 5.12132i | 0.164762 | − | 0.212468i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −9.79796 | −0.405442 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 2.44949i | − | 0.101187i | ||||||
\(587\) | −3.67423 | + | 6.36396i | −0.151652 | + | 0.262669i | −0.931835 | − | 0.362883i | \(-0.881793\pi\) |
0.780183 | + | 0.625551i | \(0.215126\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 25.9808 | − | 15.0000i | 1.06961 | − | 0.617540i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.00000 | − | 1.73205i | 0.0410997 | − | 0.0711868i | ||||
\(593\) | −39.1918 | −1.60942 | −0.804708 | − | 0.593671i | \(-0.797678\pi\) | ||||
−0.804708 | + | 0.593671i | \(0.797678\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.0000 | + | 29.3939i | 0.491952 | + | 1.20503i | ||||
\(596\) | −5.19615 | − | 3.00000i | −0.212843 | − | 0.122885i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −12.7279 | + | 7.34847i | −0.520483 | + | 0.300501i | ||||
\(599\) | 20.7846 | − | 12.0000i | 0.849236 | − | 0.490307i | −0.0111569 | − | 0.999938i | \(-0.503551\pi\) |
0.860393 | + | 0.509631i | \(0.170218\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(602\) | 9.79796 | − | 4.00000i | 0.399335 | − | 0.163028i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.00000 | 0.325515 | ||||||||
\(605\) | −13.4722 | + | 23.3345i | −0.547723 | + | 0.948683i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.24264 | + | 2.44949i | −0.172203 | + | 0.0994217i | −0.583624 | − | 0.812024i | \(-0.698366\pi\) |
0.411421 | + | 0.911445i | \(0.365033\pi\) | |||||||
\(608\) | −1.22474 | − | 2.12132i | −0.0496700 | − | 0.0860309i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 15.0000 | − | 25.9808i | 0.607332 | − | 1.05193i | ||||
\(611\) | − | 12.0000i | − | 0.485468i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.0000 | 0.565455 | 0.282727 | − | 0.959200i | \(-0.408761\pi\) | ||||
0.282727 | + | 0.959200i | \(0.408761\pi\) | |||||||
\(614\) | 3.67423 | − | 6.36396i | 0.148280 | − | 0.256829i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 15.5885 | − | 9.00000i | 0.627568 | − | 0.362326i | −0.152242 | − | 0.988343i | \(-0.548649\pi\) |
0.779809 | + | 0.626017i | \(0.215316\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 23.3345 | + | 13.4722i | 0.937894 | + | 0.541493i | 0.889299 | − | 0.457325i | \(-0.151193\pi\) |
0.0485943 | + | 0.998819i | \(0.484526\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 19.5959i | − | 0.785725i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.5000 | + | 25.1147i | 0.580000 | + | 1.00459i | ||||
\(626\) | −17.1464 | − | 29.6985i | −0.685309 | − | 1.18699i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.36396 | + | 3.67423i | 0.253950 | + | 0.146618i | ||||
\(629\) | 9.79796 | 0.390670 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.00000 | 0.0796187 | 0.0398094 | − | 0.999207i | \(-0.487325\pi\) | ||||
0.0398094 | + | 0.999207i | \(0.487325\pi\) | |||||||
\(632\) | −8.66025 | − | 5.00000i | −0.344486 | − | 0.198889i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.00000 | + | 15.5885i | 0.357436 | + | 0.619097i | ||||
\(635\) | −9.79796 | − | 16.9706i | −0.388820 | − | 0.673456i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 16.6066 | − | 4.26858i | 0.657978 | − | 0.169127i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | − | 2.44949i | − | 0.0968246i | ||||||
\(641\) | 25.9808 | + | 15.0000i | 1.02618 | + | 0.592464i | 0.915888 | − | 0.401435i | \(-0.131488\pi\) |
0.110291 | + | 0.993899i | \(0.464822\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −19.0919 | + | 11.0227i | −0.752910 | + | 0.434693i | −0.826745 | − | 0.562578i | \(-0.809810\pi\) |
0.0738342 | + | 0.997271i | \(0.476476\pi\) | |||||||
\(644\) | 12.5446 | + | 9.72792i | 0.494327 | + | 0.383334i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.00000 | − | 10.3923i | 0.236067 | − | 0.408880i | ||||
\(647\) | 44.0908 | 1.73339 | 0.866694 | − | 0.498839i | \(-0.166240\pi\) | ||||
0.866694 | + | 0.498839i | \(0.166240\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 1.22474 | − | 2.12132i | 0.0480384 | − | 0.0832050i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −8.00000 | − | 13.8564i | −0.313304 | − | 0.542659i | ||||
\(653\) | 5.19615 | − | 3.00000i | 0.203341 | − | 0.117399i | −0.394872 | − | 0.918736i | \(-0.629211\pi\) |
0.598213 | + | 0.801337i | \(0.295878\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.00000 | − | 15.5885i | 0.351659 | − | 0.609091i | ||||
\(656\) | 4.89898 | 0.191273 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −12.0000 | + | 4.89898i | −0.467809 | + | 0.190982i | ||||
\(659\) | 31.1769 | + | 18.0000i | 1.21448 | + | 0.701180i | 0.963732 | − | 0.266872i | \(-0.0859901\pi\) |
0.250748 | + | 0.968052i | \(0.419323\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.6066 | + | 6.12372i | −0.412549 | + | 0.238185i | −0.691884 | − | 0.722008i | \(-0.743219\pi\) |
0.279335 | + | 0.960194i | \(0.409886\pi\) | |||||||
\(662\) | −6.92820 | + | 4.00000i | −0.269272 | + | 0.155464i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.12132 | − | 1.22474i | −0.0823232 | − | 0.0475293i | ||||
\(665\) | −14.6969 | + | 6.00000i | −0.569923 | + | 0.232670i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 36.0000 | 1.39393 | ||||||||
\(668\) | −2.44949 | + | 4.24264i | −0.0947736 | + | 0.164153i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 16.9706 | − | 9.79796i | 0.655630 | − | 0.378528i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.0000 | + | 29.4449i | −0.655302 | + | 1.13502i | 0.326516 | + | 0.945192i | \(0.394125\pi\) |
−0.981818 | + | 0.189824i | \(0.939208\pi\) | |||||||
\(674\) | − | 32.0000i | − | 1.23259i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.00000 | −0.269231 | ||||||||
\(677\) | −3.67423 | + | 6.36396i | −0.141212 | + | 0.244587i | −0.927953 | − | 0.372696i | \(-0.878433\pi\) |
0.786741 | + | 0.617283i | \(0.211767\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.2426 | + | 7.94282i | 0.393076 | + | 0.304817i | ||||
\(680\) | 10.3923 | − | 6.00000i | 0.398527 | − | 0.230089i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 24.0000i | − | 0.918334i | −0.888350 | − | 0.459167i | \(-0.848148\pi\) | ||
0.888350 | − | 0.459167i | \(-0.151852\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 29.3939i | − | 1.12308i | ||||||
\(686\) | −11.0482 | − | 14.8640i | −0.421822 | − | 0.567509i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.00000 | − | 3.46410i | −0.0762493 | − | 0.132068i | ||||
\(689\) | 7.34847 | + | 12.7279i | 0.279954 | + | 0.484895i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −31.8198 | − | 18.3712i | −1.21048 | − | 0.698872i | −0.247618 | − | 0.968858i | \(-0.579648\pi\) |
−0.962864 | + | 0.269985i | \(0.912981\pi\) | |||||||
\(692\) | −22.0454 | −0.838041 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 12.0000 | 0.455514 | ||||||||
\(695\) | 5.19615 | + | 3.00000i | 0.197101 | + | 0.113796i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 12.0000 | + | 20.7846i | 0.454532 | + | 0.787273i | ||||
\(698\) | −1.22474 | − | 2.12132i | −0.0463573 | − | 0.0802932i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.62132 | − | 0.358719i | −0.0990766 | − | 0.0135583i | ||||
\(701\) | 30.0000i | 1.13308i | 0.824033 | + | 0.566542i | \(0.191719\pi\) | ||||
−0.824033 | + | 0.566542i | \(0.808281\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.89898i | 0.184769i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 8.48528 | − | 4.89898i | 0.319348 | − | 0.184376i | ||||
\(707\) | 11.9142 | − | 15.3640i | 0.448080 | − | 0.577821i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.00000 | + | 8.66025i | −0.187779 | + | 0.325243i | −0.944509 | − | 0.328484i | \(-0.893462\pi\) |
0.756730 | + | 0.653727i | \(0.226796\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −20.7846 | + | 12.0000i | −0.776757 | + | 0.448461i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.00000 | + | 5.19615i | −0.111959 | + | 0.193919i | ||||
\(719\) | −24.4949 | −0.913506 | −0.456753 | − | 0.889594i | \(-0.650988\pi\) | ||||
−0.456753 | + | 0.889594i | \(0.650988\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −24.0000 | + | 9.79796i | −0.893807 | + | 0.364895i | ||||
\(722\) | −11.2583 | − | 6.50000i | −0.418992 | − | 0.241905i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 10.6066 | − | 6.12372i | 0.394191 | − | 0.227586i | ||||
\(725\) | −5.19615 | + | 3.00000i | −0.192980 | + | 0.111417i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 25.4558 | + | 14.6969i | 0.944105 | + | 0.545079i | 0.891245 | − | 0.453523i | \(-0.149833\pi\) |
0.0528602 | + | 0.998602i | \(0.483166\pi\) | |||||||
\(728\) | −2.44949 | − | 6.00000i | −0.0907841 | − | 0.222375i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 24.0000 | 0.888280 | ||||||||
\(731\) | 9.79796 | − | 16.9706i | 0.362391 | − | 0.627679i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.0919 | + | 11.0227i | −0.705175 | + | 0.407133i | −0.809272 | − | 0.587434i | \(-0.800138\pi\) |
0.104097 | + | 0.994567i | \(0.466805\pi\) | |||||||
\(734\) | −2.44949 | − | 4.24264i | −0.0904123 | − | 0.156599i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.00000 | − | 5.19615i | 0.110581 | − | 0.191533i | ||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.0000 | 0.735712 | 0.367856 | − | 0.929883i | \(-0.380092\pi\) | ||||
0.367856 | + | 0.929883i | \(0.380092\pi\) | |||||||
\(740\) | −2.44949 | + | 4.24264i | −0.0900450 | + | 0.155963i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 9.72792 | − | 12.5446i | 0.357123 | − | 0.460528i | ||||
\(743\) | 5.19615 | − | 3.00000i | 0.190628 | − | 0.110059i | −0.401648 | − | 0.915794i | \(-0.631563\pi\) |
0.592277 | + | 0.805735i | \(0.298229\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 12.7279 | + | 7.34847i | 0.466315 | + | 0.269227i | ||||
\(746\) | 14.0000i | 0.512576i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.30463 | − | 31.4558i | 0.157288 | − | 1.14937i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.00000 | + | 6.92820i | 0.145962 | + | 0.252814i | 0.929731 | − | 0.368238i | \(-0.120039\pi\) |
−0.783769 | + | 0.621052i | \(0.786706\pi\) | |||||||
\(752\) | 2.44949 | + | 4.24264i | 0.0893237 | + | 0.154713i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −12.7279 | − | 7.34847i | −0.463524 | − | 0.267615i | ||||
\(755\) | −19.5959 | −0.713168 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.00000 | −0.0726912 | −0.0363456 | − | 0.999339i | \(-0.511572\pi\) | ||||
−0.0363456 | + | 0.999339i | \(0.511572\pi\) | |||||||
\(758\) | 17.3205 | + | 10.0000i | 0.629109 | + | 0.363216i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.00000 | + | 5.19615i | 0.108821 | + | 0.188484i | ||||
\(761\) | −2.44949 | − | 4.24264i | −0.0887939 | − | 0.153796i | 0.818208 | − | 0.574923i | \(-0.194968\pi\) |
−0.907002 | + | 0.421127i | \(0.861635\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 26.2132 | + | 3.58719i | 0.948982 | + | 0.129865i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 34.2929i | 1.23905i | ||||||||
\(767\) | −25.9808 | − | 15.0000i | −0.938111 | − | 0.541619i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 29.6985 | − | 17.1464i | 1.07095 | − | 0.618316i | 0.142513 | − | 0.989793i | \(-0.454482\pi\) |
0.928442 | + | 0.371477i | \(0.121149\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.00000 | − | 3.46410i | 0.0719816 | − | 0.124676i | ||||
\(773\) | −26.9444 | −0.969122 | −0.484561 | − | 0.874757i | \(-0.661021\pi\) | ||||
−0.484561 | + | 0.874757i | \(0.661021\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 2.44949 | − | 4.24264i | 0.0879316 | − | 0.152302i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3.00000 | − | 5.19615i | −0.107555 | − | 0.186291i | ||||
\(779\) | −10.3923 | + | 6.00000i | −0.372343 | + | 0.214972i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 29.3939 | 1.05112 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.00000 | + | 4.89898i | −0.178571 | + | 0.174964i | ||||
\(785\) | −15.5885 | − | 9.00000i | −0.556376 | − | 0.321224i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 27.5772 | − | 15.9217i | 0.983020 | − | 0.567547i | 0.0798393 | − | 0.996808i | \(-0.474559\pi\) |
0.903180 | + | 0.429261i | \(0.141226\pi\) | |||||||
\(788\) | −15.5885 | + | 9.00000i | −0.555316 | + | 0.320612i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 21.2132 | + | 12.2474i | 0.754732 | + | 0.435745i | ||||
\(791\) | 14.6969 | − | 6.00000i | 0.522563 | − | 0.213335i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −30.0000 | −1.06533 | ||||||||
\(794\) | 3.67423 | − | 6.36396i | 0.130394 | − | 0.225849i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −8.48528 | + | 4.89898i | −0.300753 | + | 0.173640i | ||||
\(797\) | −3.67423 | − | 6.36396i | −0.130148 | − | 0.225423i | 0.793585 | − | 0.608459i | \(-0.208212\pi\) |
−0.923734 | + | 0.383036i | \(0.874879\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.0000 | + | 20.7846i | −0.424529 | + | 0.735307i | ||||
\(800\) | 1.00000i | 0.0353553i | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −30.0000 | −1.05934 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −30.7279 | − | 23.8284i | −1.08302 | − | 0.839842i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −6.36396 | − | 3.67423i | −0.223883 | − | 0.129259i | ||||
\(809\) | − | 6.00000i | − | 0.210949i | −0.994422 | − | 0.105474i | \(-0.966364\pi\) | ||
0.994422 | − | 0.105474i | \(-0.0336361\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 36.7423i | 1.29020i | 0.764099 | + | 0.645099i | \(0.223184\pi\) | ||||
−0.764099 | + | 0.645099i | \(0.776816\pi\) | |||||||
\(812\) | −2.15232 | + | 15.7279i | −0.0755315 | + | 0.551942i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 19.5959 | + | 33.9411i | 0.686415 | + | 1.18891i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.48528 | + | 4.89898i | 0.296862 | + | 0.171394i | ||||
\(818\) | −34.2929 | −1.19902 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −12.0000 | −0.419058 | ||||||||
\(821\) | 25.9808 | + | 15.0000i | 0.906735 | + | 0.523504i | 0.879379 | − | 0.476122i | \(-0.157958\pi\) |
0.0273557 | + | 0.999626i | \(0.491291\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.00000 | − | 12.1244i | −0.244005 | − | 0.422628i | 0.717847 | − | 0.696201i | \(-0.245128\pi\) |
−0.961851 | + | 0.273573i | \(0.911795\pi\) | |||||||
\(824\) | 4.89898 | + | 8.48528i | 0.170664 | + | 0.295599i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.39340 | + | 32.1045i | −0.152866 | + | 1.11706i | ||||
\(827\) | − | 12.0000i | − | 0.417281i | −0.977992 | − | 0.208640i | \(-0.933096\pi\) | ||
0.977992 | − | 0.208640i | \(-0.0669038\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 26.9444i | − | 0.935817i | −0.883777 | − | 0.467909i | \(-0.845008\pi\) | ||
0.883777 | − | 0.467909i | \(-0.154992\pi\) | |||||||
\(830\) | 5.19615 | + | 3.00000i | 0.180361 | + | 0.104132i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.12132 | + | 1.22474i | −0.0735436 | + | 0.0424604i | ||||
\(833\) | −33.0321 | − | 9.21320i | −1.14449 | − | 0.319219i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.00000 | − | 10.3923i | 0.207639 | − | 0.359641i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | − | 12.2474i | − | 0.423081i | ||||||
\(839\) | −12.2474 | + | 21.2132i | −0.422829 | + | 0.732361i | −0.996215 | − | 0.0869242i | \(-0.972296\pi\) |
0.573386 | + | 0.819285i | \(0.305630\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.50000 | + | 6.06218i | 0.120690 | + | 0.209041i | ||||
\(842\) | 1.73205 | − | 1.00000i | 0.0596904 | − | 0.0344623i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.00000 | + | 6.92820i | −0.137686 | + | 0.238479i | ||||
\(845\) | 17.1464 | 0.589855 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −11.0000 | − | 26.9444i | −0.377964 | − | 0.925820i | ||||
\(848\) | −5.19615 | − | 3.00000i | −0.178437 | − | 0.103020i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.24264 | + | 2.44949i | −0.145521 | + | 0.0840168i | ||||
\(851\) | −10.3923 | + | 6.00000i | −0.356244 | + | 0.205677i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −2.12132 | − | 1.22474i | −0.0726326 | − | 0.0419345i | 0.463244 | − | 0.886231i | \(-0.346685\pi\) |
−0.535876 | + | 0.844296i | \(0.680019\pi\) | |||||||
\(854\) | 12.2474 | + | 30.0000i | 0.419099 | + | 1.02658i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −12.0000 | −0.410152 | ||||||||
\(857\) | 2.44949 | − | 4.24264i | 0.0836730 | − | 0.144926i | −0.821152 | − | 0.570710i | \(-0.806668\pi\) |
0.904825 | + | 0.425784i | \(0.140002\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −23.3345 | + | 13.4722i | −0.796164 | + | 0.459665i | −0.842128 | − | 0.539278i | \(-0.818697\pi\) |
0.0459643 | + | 0.998943i | \(0.485364\pi\) | |||||||
\(860\) | 4.89898 | + | 8.48528i | 0.167054 | + | 0.289346i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 15.0000 | − | 25.9808i | 0.510902 | − | 0.884908i | ||||
\(863\) | − | 24.0000i | − | 0.816970i | −0.912765 | − | 0.408485i | \(-0.866057\pi\) | ||
0.912765 | − | 0.408485i | \(-0.133943\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 54.0000 | 1.83606 | ||||||||
\(866\) | 7.34847 | − | 12.7279i | 0.249711 | − | 0.432512i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −16.9706 | − | 9.79796i | −0.575026 | − | 0.331991i | ||||
\(872\) | − | 10.0000i | − | 0.338643i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 14.6969i | 0.497131i | ||||||||
\(875\) | −25.6836 | − | 3.51472i | −0.868264 | − | 0.118819i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 11.0000 | + | 19.0526i | 0.371444 | + | 0.643359i | 0.989788 | − | 0.142548i | \(-0.0455296\pi\) |
−0.618344 | + | 0.785907i | \(0.712196\pi\) | |||||||
\(878\) | −7.34847 | − | 12.7279i | −0.247999 | − | 0.429547i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 29.3939 | 0.990305 | 0.495152 | − | 0.868806i | \(-0.335112\pi\) | ||||
0.495152 | + | 0.868806i | \(0.335112\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −56.0000 | −1.88455 | −0.942275 | − | 0.334840i | \(-0.891318\pi\) | ||||
−0.942275 | + | 0.334840i | \(0.891318\pi\) | |||||||
\(884\) | −10.3923 | − | 6.00000i | −0.349531 | − | 0.201802i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.0000 | + | 31.1769i | 0.604722 | + | 1.04741i | ||||
\(887\) | 2.44949 | + | 4.24264i | 0.0822458 | + | 0.142454i | 0.904214 | − | 0.427079i | \(-0.140457\pi\) |
−0.821968 | + | 0.569533i | \(0.807124\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 20.9706 | + | 2.86976i | 0.703330 | + | 0.0962485i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 14.6969i | − | 0.492090i | ||||||
\(893\) | −10.3923 | − | 6.00000i | −0.347765 | − | 0.200782i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 50.9117 | − | 29.3939i | 1.70179 | − | 0.982529i | ||||
\(896\) | 2.09077 | + | 1.62132i | 0.0698477 | + | 0.0541645i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −18.0000 | + | 31.1769i | −0.600668 | + | 1.04039i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 29.3939i | − | 0.979252i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −3.00000 | − | 5.19615i | −0.0997785 | − | 0.172821i | ||||
\(905\) | −25.9808 | + | 15.0000i | −0.863630 | + | 0.498617i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.0000 | + | 24.2487i | −0.464862 | + | 0.805165i | −0.999195 | − | 0.0401089i | \(-0.987230\pi\) |
0.534333 | + | 0.845274i | \(0.320563\pi\) | |||||||
\(908\) | −7.34847 | −0.243868 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 6.00000 | + | 14.6969i | 0.198898 | + | 0.487199i | ||||
\(911\) | −25.9808 | − | 15.0000i | −0.860781 | − | 0.496972i | 0.00349271 | − | 0.999994i | \(-0.498888\pi\) |
−0.864274 | + | 0.503022i | \(0.832222\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 24.2487 | − | 14.0000i | 0.802076 | − | 0.463079i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 19.0919 | + | 11.0227i | 0.630814 | + | 0.364200i | ||||
\(917\) | 7.34847 | + | 18.0000i | 0.242668 | + | 0.594412i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.0000 | 0.329870 | 0.164935 | − | 0.986304i | \(-0.447259\pi\) | ||||
0.164935 | + | 0.986304i | \(0.447259\pi\) | |||||||
\(920\) | −7.34847 | + | 12.7279i | −0.242272 | + | 0.419627i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −27.5772 | + | 15.9217i | −0.908206 | + | 0.524353i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.00000 | − | 1.73205i | 0.0328798 | − | 0.0569495i | ||||
\(926\) | 14.0000i | 0.460069i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 6.00000 | 0.196960 | ||||||||
\(929\) | −12.2474 | + | 21.2132i | −0.401826 | + | 0.695983i | −0.993946 | − | 0.109867i | \(-0.964958\pi\) |
0.592121 | + | 0.805849i | \(0.298291\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.60660 | − | 16.5160i | 0.150975 | − | 0.541291i | ||||
\(932\) | 20.7846 | − | 12.0000i | 0.680823 | − | 0.393073i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −6.36396 | − | 3.67423i | −0.208235 | − | 0.120225i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 19.5959i | 0.640171i | 0.947389 | + | 0.320085i | \(0.103712\pi\) | ||||
−0.947389 | + | 0.320085i | \(0.896288\pi\) | |||||||
\(938\) | −2.86976 | + | 20.9706i | −0.0937008 | + | 0.684713i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −6.00000 | − | 10.3923i | −0.195698 | − | 0.338960i | ||||
\(941\) | 15.9217 | + | 27.5772i | 0.519032 | + | 0.898990i | 0.999755 | + | 0.0221175i | \(0.00704081\pi\) |
−0.480723 | + | 0.876872i | \(0.659626\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −25.4558 | − | 14.6969i | −0.828956 | − | 0.478598i | ||||
\(944\) | 12.2474 | 0.398621 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 10.3923 | + | 6.00000i | 0.337705 | + | 0.194974i | 0.659256 | − | 0.751918i | \(-0.270871\pi\) |
−0.321552 | + | 0.946892i | \(0.604204\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −12.0000 | − | 20.7846i | −0.389536 | − | 0.674697i | ||||
\(950\) | −1.22474 | − | 2.12132i | −0.0397360 | − | 0.0688247i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.75736 | + | 12.8418i | −0.0569563 | + | 0.416205i | ||||
\(953\) | 36.0000i | 1.16615i | 0.812417 | + | 0.583077i | \(0.198151\pi\) | ||||
−0.812417 | + | 0.583077i | \(0.801849\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −5.19615 | − | 3.00000i | −0.168056 | − | 0.0970269i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −21.2132 | + | 12.2474i | −0.685367 | + | 0.395697i | ||||
\(959\) | 25.0892 | + | 19.4558i | 0.810174 | + | 0.628262i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.5000 | + | 26.8468i | −0.500000 | + | 0.866025i | ||||
\(962\) | 4.89898 | 0.157949 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 24.4949i | 0.788928i | ||||||||
\(965\) | −4.89898 | + | 8.48528i | −0.157704 | + | 0.273151i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.00000 | − | 6.92820i | −0.128631 | − | 0.222796i | 0.794515 | − | 0.607244i | \(-0.207725\pi\) |
−0.923147 | + | 0.384448i | \(0.874392\pi\) | |||||||
\(968\) | −9.52628 | + | 5.50000i | −0.306186 | + | 0.176777i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −6.00000 | + | 10.3923i | −0.192648 | + | 0.333677i | ||||
\(971\) | 41.6413 | 1.33633 | 0.668167 | − | 0.744011i | \(-0.267079\pi\) | ||||
0.668167 | + | 0.744011i | \(0.267079\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.00000 | + | 2.44949i | −0.192351 | + | 0.0785270i | ||||
\(974\) | 27.7128 | + | 16.0000i | 0.887976 | + | 0.512673i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 10.6066 | − | 6.12372i | 0.339509 | − | 0.196016i | ||||
\(977\) | −10.3923 | + | 6.00000i | −0.332479 | + | 0.191957i | −0.656941 | − | 0.753942i | \(-0.728150\pi\) |
0.324462 | + | 0.945899i | \(0.394817\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 12.2474 | − | 12.0000i | 0.391230 | − | 0.383326i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −17.1464 | + | 29.6985i | −0.546886 | + | 0.947235i | 0.451599 | + | 0.892221i | \(0.350854\pi\) |
−0.998486 | + | 0.0550138i | \(0.982480\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 38.1838 | − | 22.0454i | 1.21664 | − | 0.702425i | ||||
\(986\) | 14.6969 | + | 25.4558i | 0.468046 | + | 0.810679i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.00000 | − | 5.19615i | 0.0954427 | − | 0.165312i | ||||
\(989\) | 24.0000i | 0.763156i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −38.0000 | −1.20711 | −0.603555 | − | 0.797321i | \(-0.706250\pi\) | ||||
−0.603555 | + | 0.797321i | \(0.706250\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 20.7846 | − | 12.0000i | 0.658916 | − | 0.380426i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −6.36396 | − | 3.67423i | −0.201549 | − | 0.116364i | 0.395829 | − | 0.918324i | \(-0.370457\pi\) |
−0.597378 | + | 0.801960i | \(0.703791\pi\) | |||||||
\(998\) | − | 20.0000i | − | 0.633089i | ||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))