Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1800,2,Mod(899,1800)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1800, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1800.899");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1800 = 2^{3} \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1800.m (of order \(2\), degree \(1\), 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: | \(14.3730723638\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 899.18 | ||
Character | \(\chi\) | \(=\) | 1800.899 |
Dual form | 1800.2.m.f.899.20 |
$q$-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 \(\left(\mathbb{Z}/1800\mathbb{Z}\right)^\times\).
\(n\) | \(577\) | \(901\) | \(1001\) | \(1351\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.376495 | − | 1.36318i | 0.266222 | − | 0.963912i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.71650 | − | 1.02646i | −0.858252 | − | 0.513229i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.04148 | 0.393643 | 0.196822 | − | 0.980439i | \(-0.436938\pi\) | ||||
0.196822 | + | 0.980439i | \(0.436938\pi\) | |||||||
\(8\) | −2.04550 | + | 1.95344i | −0.723193 | + | 0.690646i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.67678i | 0.807080i | 0.914962 | + | 0.403540i | \(0.132220\pi\) | ||||
−0.914962 | + | 0.403540i | \(0.867780\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.761250 | −0.211133 | −0.105566 | − | 0.994412i | \(-0.533666\pi\) | ||||
−0.105566 | + | 0.994412i | \(0.533666\pi\) | |||||||
\(14\) | 0.392112 | − | 1.41972i | 0.104796 | − | 0.379437i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.89277 | + | 3.52384i | 0.473193 | + | 0.880959i | ||||
\(17\) | −2.17822 | −0.528297 | −0.264148 | − | 0.964482i | \(-0.585091\pi\) | ||||
−0.264148 | + | 0.964482i | \(0.585091\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.36812 | −0.772700 | −0.386350 | − | 0.922352i | \(-0.626264\pi\) | ||||
−0.386350 | + | 0.922352i | \(0.626264\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.64893 | + | 1.00779i | 0.777954 | + | 0.214862i | ||||
\(23\) | 4.98346i | 1.03912i | 0.854433 | + | 0.519561i | \(0.173905\pi\) | ||||
−0.854433 | + | 0.519561i | \(0.826095\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.286607 | + | 1.03772i | −0.0562082 | + | 0.203513i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.78771 | − | 1.06904i | −0.337845 | − | 0.202029i | ||||
\(29\) | 7.88672 | 1.46453 | 0.732263 | − | 0.681022i | \(-0.238464\pi\) | ||||
0.732263 | + | 0.681022i | \(0.238464\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.48369i | 0.805294i | 0.915355 | + | 0.402647i | \(0.131910\pi\) | ||||
−0.915355 | + | 0.402647i | \(0.868090\pi\) | |||||||
\(32\) | 5.51623 | − | 1.25348i | 0.975141 | − | 0.221585i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.820090 | + | 2.96931i | −0.140644 | + | 0.509232i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.663622 | −0.109099 | −0.0545494 | − | 0.998511i | \(-0.517372\pi\) | ||||
−0.0545494 | + | 0.998511i | \(0.517372\pi\) | |||||||
\(38\) | −1.26808 | + | 4.59134i | −0.205710 | + | 0.744814i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.94600i | 1.39713i | 0.715546 | + | 0.698565i | \(0.246178\pi\) | ||||
−0.715546 | + | 0.698565i | \(0.753822\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 2.41742i | − | 0.368653i | −0.982865 | − | 0.184327i | \(-0.940990\pi\) | ||
0.982865 | − | 0.184327i | \(-0.0590104\pi\) | |||||||
\(44\) | 2.74760 | − | 4.59471i | 0.414217 | − | 0.692678i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.79333 | + | 1.87624i | 1.00162 | + | 0.276637i | ||||
\(47\) | 7.27940i | 1.06181i | 0.847432 | + | 0.530905i | \(0.178148\pi\) | ||||
−0.847432 | + | 0.530905i | \(0.821852\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.91532 | −0.845045 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.30669 | + | 0.781391i | 0.181205 | + | 0.108359i | ||||
\(53\) | 1.00363i | 0.137859i | 0.997622 | + | 0.0689293i | \(0.0219583\pi\) | ||||
−0.997622 | + | 0.0689293i | \(0.978042\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.13035 | + | 2.03448i | −0.284680 | + | 0.271868i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.96931 | − | 10.7510i | 0.389889 | − | 1.41167i | ||||
\(59\) | 4.94677i | 0.644015i | 0.946737 | + | 0.322007i | \(0.104358\pi\) | ||||
−0.946737 | + | 0.322007i | \(0.895642\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.4752i | 1.59729i | 0.601804 | + | 0.798644i | \(0.294449\pi\) | ||||
−0.601804 | + | 0.798644i | \(0.705551\pi\) | |||||||
\(62\) | 6.11206 | + | 1.68808i | 0.776233 | + | 0.214387i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.368120 | − | 7.99153i | 0.0460150 | − | 0.998941i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 14.3639i | − | 1.75483i | −0.479731 | − | 0.877415i | \(-0.659266\pi\) | ||
0.479731 | − | 0.877415i | \(-0.340734\pi\) | |||||||
\(68\) | 3.73893 | + | 2.23585i | 0.453412 | + | 0.271137i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.44908 | 0.528009 | 0.264004 | − | 0.964521i | \(-0.414957\pi\) | ||||
0.264004 | + | 0.964521i | \(0.414957\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 3.65577i | − | 0.427875i | −0.976847 | − | 0.213938i | \(-0.931371\pi\) | ||
0.976847 | − | 0.213938i | \(-0.0686289\pi\) | |||||||
\(74\) | −0.249850 | + | 0.904635i | −0.0290445 | + | 0.105162i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.78139 | + | 3.45723i | 0.663171 | + | 0.396572i | ||||
\(77\) | 2.78782i | 0.317702i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 13.3396i | 1.50083i | 0.660970 | + | 0.750413i | \(0.270145\pi\) | ||||
−0.660970 | + | 0.750413i | \(0.729855\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 12.1950 | + | 3.36812i | 1.34671 | + | 0.371947i | ||||
\(83\) | 7.77520 | 0.853439 | 0.426719 | − | 0.904384i | \(-0.359669\pi\) | ||||
0.426719 | + | 0.904384i | \(0.359669\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.29537 | − | 0.910146i | −0.355349 | − | 0.0981435i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.22894 | − | 5.47535i | −0.557407 | − | 0.583674i | ||||
\(89\) | 6.69806i | 0.709992i | 0.934868 | + | 0.354996i | \(0.115518\pi\) | ||||
−0.934868 | + | 0.354996i | \(0.884482\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.792829 | −0.0831110 | ||||||||
\(92\) | 5.11531 | − | 8.55412i | 0.533308 | − | 0.891829i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.92311 | + | 2.74065i | 1.02349 | + | 0.282677i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 13.3073i | − | 1.35115i | −0.737290 | − | 0.675577i | \(-0.763895\pi\) | ||
0.737290 | − | 0.675577i | \(-0.236105\pi\) | |||||||
\(98\) | −2.22708 | + | 8.06362i | −0.224969 | + | 0.814549i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.94938 | −0.392978 | −0.196489 | − | 0.980506i | \(-0.562954\pi\) | ||||
−0.196489 | + | 0.980506i | \(0.562954\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 17.3423 | 1.70879 | 0.854394 | − | 0.519626i | \(-0.173929\pi\) | ||||
0.854394 | + | 0.519626i | \(0.173929\pi\) | |||||||
\(104\) | 1.55714 | − | 1.48706i | 0.152690 | − | 0.145818i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.36812 | + | 0.377860i | 0.132884 | + | 0.0367010i | ||||
\(107\) | −6.13962 | −0.593539 | −0.296770 | − | 0.954949i | \(-0.595909\pi\) | ||||
−0.296770 | + | 0.954949i | \(0.595909\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 17.6032i | − | 1.68608i | −0.537852 | − | 0.843039i | \(-0.680764\pi\) | ||
0.537852 | − | 0.843039i | \(-0.319236\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.97129 | + | 3.67001i | 0.186269 | + | 0.346784i | ||||
\(113\) | 9.52648 | 0.896176 | 0.448088 | − | 0.893989i | \(-0.352105\pi\) | ||||
0.448088 | + | 0.893989i | \(0.352105\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −13.5376 | − | 8.09538i | −1.25693 | − | 0.751637i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.74332 | + | 1.86243i | 0.620773 | + | 0.171451i | ||||
\(119\) | −2.26858 | −0.207961 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.83484 | 0.348622 | ||||||||
\(122\) | 17.0059 | + | 4.69685i | 1.53964 | + | 0.425233i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.60232 | − | 7.69627i | 0.413300 | − | 0.691145i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.6531 | 0.945313 | 0.472657 | − | 0.881247i | \(-0.343295\pi\) | ||||
0.472657 | + | 0.881247i | \(0.343295\pi\) | |||||||
\(128\) | −10.7553 | − | 3.51058i | −0.950641 | − | 0.310294i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 14.6249i | 1.27778i | 0.769297 | + | 0.638892i | \(0.220607\pi\) | ||||
−0.769297 | + | 0.638892i | \(0.779393\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.50784 | −0.304168 | ||||||||
\(134\) | −19.5806 | − | 5.40793i | −1.69150 | − | 0.467174i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.45555 | − | 4.25504i | 0.382060 | − | 0.364866i | ||||
\(137\) | −16.6613 | −1.42347 | −0.711736 | − | 0.702447i | \(-0.752091\pi\) | ||||
−0.711736 | + | 0.702447i | \(0.752091\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.47401 | 0.209843 | 0.104921 | − | 0.994481i | \(-0.466541\pi\) | ||||
0.104921 | + | 0.994481i | \(0.466541\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.67506 | − | 6.06489i | 0.140568 | − | 0.508954i | ||||
\(143\) | − | 2.03770i | − | 0.170401i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −4.98346 | − | 1.37638i | −0.412434 | − | 0.113910i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.13911 | + | 0.681180i | 0.0936343 | + | 0.0559926i | ||||
\(149\) | 10.7674 | 0.882096 | 0.441048 | − | 0.897484i | \(-0.354607\pi\) | ||||
0.441048 | + | 0.897484i | \(0.354607\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 2.56398i | − | 0.208654i | −0.994543 | − | 0.104327i | \(-0.966731\pi\) | ||
0.994543 | − | 0.104327i | \(-0.0332688\pi\) | |||||||
\(152\) | 6.88948 | − | 6.57943i | 0.558811 | − | 0.533662i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.80029 | + | 1.04960i | 0.306236 | + | 0.0845791i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −21.6489 | −1.72777 | −0.863886 | − | 0.503688i | \(-0.831976\pi\) | ||||
−0.863886 | + | 0.503688i | \(0.831976\pi\) | |||||||
\(158\) | 18.1843 | + | 5.02230i | 1.44666 | + | 0.399552i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.19018i | 0.409044i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 1.84213i | − | 0.144287i | −0.997394 | − | 0.0721433i | \(-0.977016\pi\) | ||
0.997394 | − | 0.0721433i | \(-0.0229839\pi\) | |||||||
\(164\) | 9.18269 | − | 15.3558i | 0.717048 | − | 1.19909i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.92732 | − | 10.5990i | 0.227204 | − | 0.822640i | ||||
\(167\) | 20.2225i | 1.56487i | 0.622735 | + | 0.782433i | \(0.286021\pi\) | ||||
−0.622735 | + | 0.782433i | \(0.713979\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.4205 | −0.955423 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.48138 | + | 4.14951i | −0.189203 | + | 0.316397i | ||||
\(173\) | − | 21.7379i | − | 1.65270i | −0.563156 | − | 0.826351i | \(-0.690413\pi\) | ||
0.563156 | − | 0.826351i | \(-0.309587\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −9.43254 | + | 5.06653i | −0.711004 | + | 0.381904i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.13064 | + | 2.52178i | 0.684370 | + | 0.189015i | ||||
\(179\) | 13.6156i | 1.01768i | 0.860862 | + | 0.508838i | \(0.169925\pi\) | ||||
−0.860862 | + | 0.508838i | \(0.830075\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.88995i | 0.512126i | 0.966660 | + | 0.256063i | \(0.0824254\pi\) | ||||
−0.966660 | + | 0.256063i | \(0.917575\pi\) | |||||||
\(182\) | −0.298496 | + | 1.08077i | −0.0221260 | + | 0.0801117i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −9.73490 | − | 10.1936i | −0.717666 | − | 0.751486i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 5.83063i | − | 0.426378i | ||||||
\(188\) | 7.47199 | − | 12.4951i | 0.544951 | − | 0.911300i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.823063 | 0.0595548 | 0.0297774 | − | 0.999557i | \(-0.490520\pi\) | ||||
0.0297774 | + | 0.999557i | \(0.490520\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 20.6473i | 1.48623i | 0.669165 | + | 0.743114i | \(0.266652\pi\) | ||||
−0.669165 | + | 0.743114i | \(0.733348\pi\) | |||||||
\(194\) | −18.1402 | − | 5.01013i | −1.30239 | − | 0.359707i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.1537 | + | 6.07182i | 0.725261 | + | 0.433701i | ||||
\(197\) | 7.67571i | 0.546871i | 0.961890 | + | 0.273436i | \(0.0881601\pi\) | ||||
−0.961890 | + | 0.273436i | \(0.911840\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 19.7110i | 1.39728i | 0.715475 | + | 0.698639i | \(0.246210\pi\) | ||||
−0.715475 | + | 0.698639i | \(0.753790\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.48692 | + | 5.38371i | −0.104619 | + | 0.378796i | ||||
\(203\) | 8.21387 | 0.576501 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 6.52928 | − | 23.6406i | 0.454916 | − | 1.64712i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.44087 | − | 2.68252i | −0.0999065 | − | 0.185999i | ||||
\(209\) | − | 9.01572i | − | 0.623631i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.46672 | −0.238659 | −0.119329 | − | 0.992855i | \(-0.538074\pi\) | ||||
−0.119329 | + | 0.992855i | \(0.538074\pi\) | |||||||
\(212\) | 1.03018 | − | 1.72273i | 0.0707530 | − | 0.118317i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.31153 | + | 8.36939i | −0.158013 | + | 0.572119i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.66968i | 0.316999i | ||||||||
\(218\) | −23.9963 | − | 6.62750i | −1.62523 | − | 0.448871i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.65817 | 0.111541 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 17.9866 | 1.20447 | 0.602235 | − | 0.798319i | \(-0.294277\pi\) | ||||
0.602235 | + | 0.798319i | \(0.294277\pi\) | |||||||
\(224\) | 5.74505 | − | 1.30547i | 0.383858 | − | 0.0872256i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.58667 | − | 12.9863i | 0.238582 | − | 0.863835i | ||||
\(227\) | −25.4518 | −1.68929 | −0.844647 | − | 0.535323i | \(-0.820190\pi\) | ||||
−0.844647 | + | 0.535323i | \(0.820190\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 16.8475i | − | 1.11331i | −0.830743 | − | 0.556656i | \(-0.812084\pi\) | ||
0.830743 | − | 0.556656i | \(-0.187916\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −16.1323 | + | 15.4063i | −1.05913 | + | 1.01147i | ||||
\(233\) | −1.06730 | −0.0699213 | −0.0349606 | − | 0.999389i | \(-0.511131\pi\) | ||||
−0.0349606 | + | 0.999389i | \(0.511131\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 5.07765 | − | 8.49115i | 0.330527 | − | 0.552727i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.854108 | + | 3.09248i | −0.0553636 | + | 0.200456i | ||||
\(239\) | −18.1544 | −1.17431 | −0.587154 | − | 0.809475i | \(-0.699752\pi\) | ||||
−0.587154 | + | 0.809475i | \(0.699752\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.3073 | −0.857200 | −0.428600 | − | 0.903494i | \(-0.640993\pi\) | ||||
−0.428600 | + | 0.903494i | \(0.640993\pi\) | |||||||
\(242\) | 1.44380 | − | 5.22757i | 0.0928108 | − | 0.336041i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 12.8053 | − | 21.4138i | 0.819774 | − | 1.37088i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.56398 | 0.163142 | ||||||||
\(248\) | −8.75863 | − | 9.17138i | −0.556174 | − | 0.582383i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 11.4972i | − | 0.725699i | −0.931848 | − | 0.362850i | \(-0.881804\pi\) | ||
0.931848 | − | 0.362850i | \(-0.118196\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −13.3396 | −0.838655 | ||||||||
\(254\) | 4.01085 | − | 14.5221i | 0.251663 | − | 0.911198i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.83484 | + | 13.3396i | −0.552178 | + | 0.833727i | ||||
\(257\) | −7.36840 | −0.459628 | −0.229814 | − | 0.973235i | \(-0.573812\pi\) | ||||
−0.229814 | + | 0.973235i | \(0.573812\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.691151 | −0.0429460 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 19.9363 | + | 5.50619i | 1.23167 | + | 0.340174i | ||||
\(263\) | 1.73421i | 0.106936i | 0.998570 | + | 0.0534679i | \(0.0170275\pi\) | ||||
−0.998570 | + | 0.0534679i | \(0.982973\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −1.32068 | + | 4.78180i | −0.0809762 | + | 0.293191i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −14.7439 | + | 24.6557i | −0.900630 | + | 1.50609i | ||||
\(269\) | 16.7849 | 1.02339 | 0.511696 | − | 0.859166i | \(-0.329017\pi\) | ||||
0.511696 | + | 0.859166i | \(0.329017\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 21.1430i | − | 1.28435i | −0.766559 | − | 0.642173i | \(-0.778033\pi\) | ||
0.766559 | − | 0.642173i | \(-0.221967\pi\) | |||||||
\(272\) | −4.12288 | − | 7.67571i | −0.249986 | − | 0.465408i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.27289 | + | 22.7123i | −0.378959 | + | 1.37210i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −27.2342 | −1.63634 | −0.818172 | − | 0.574974i | \(-0.805012\pi\) | ||||
−0.818172 | + | 0.574974i | \(0.805012\pi\) | |||||||
\(278\) | 0.931451 | − | 3.37251i | 0.0558647 | − | 0.202270i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.70336i | 0.280579i | 0.990111 | + | 0.140289i | \(0.0448033\pi\) | ||||
−0.990111 | + | 0.140289i | \(0.955197\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.6754i | 0.694033i | 0.937859 | + | 0.347016i | \(0.112805\pi\) | ||||
−0.937859 | + | 0.347016i | \(0.887195\pi\) | |||||||
\(284\) | −7.63687 | − | 4.56679i | −0.453165 | − | 0.270989i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.77775 | − | 0.767183i | −0.164252 | − | 0.0453645i | ||||
\(287\) | 9.31710i | 0.549971i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12.2553 | −0.720902 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.75249 | + | 6.27514i | −0.219598 | + | 0.367225i | ||||
\(293\) | − | 13.9042i | − | 0.812295i | −0.913808 | − | 0.406147i | \(-0.866872\pi\) | ||
0.913808 | − | 0.406147i | \(-0.133128\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.35744 | − | 1.29635i | 0.0788995 | − | 0.0753487i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 4.05385 | − | 14.6778i | 0.234833 | − | 0.850262i | ||||
\(299\) | − | 3.79366i | − | 0.219393i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 2.51770i | − | 0.145118i | ||||||
\(302\) | −3.49516 | − | 0.965325i | −0.201124 | − | 0.0555482i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −6.37508 | − | 11.8687i | −0.365636 | − | 0.680717i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.679652i | 0.0387898i | 0.999812 | + | 0.0193949i | \(0.00617398\pi\) | ||||
−0.999812 | + | 0.0193949i | \(0.993826\pi\) | |||||||
\(308\) | 2.86158 | − | 4.78530i | 0.163054 | − | 0.272668i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 16.3078 | 0.924731 | 0.462365 | − | 0.886689i | \(-0.347001\pi\) | ||||
0.462365 | + | 0.886689i | \(0.347001\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.17907i | 0.349262i | 0.984634 | + | 0.174631i | \(0.0558732\pi\) | ||||
−0.984634 | + | 0.174631i | \(0.944127\pi\) | |||||||
\(314\) | −8.15070 | + | 29.5113i | −0.459970 | + | 1.66542i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 13.6926 | − | 22.8975i | 0.770266 | − | 1.28809i | ||||
\(317\) | − | 29.4787i | − | 1.65569i | −0.560957 | − | 0.827845i | \(-0.689567\pi\) | ||
0.560957 | − | 0.827845i | \(-0.310433\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 21.1110i | 1.18199i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7.07514 | + | 1.95407i | 0.394282 | + | 0.108896i | ||||
\(323\) | 7.33652 | 0.408215 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −2.51115 | − | 0.693551i | −0.139080 | − | 0.0384123i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −17.4755 | − | 18.2990i | −0.964923 | − | 1.01039i | ||||
\(329\) | 7.58136i | 0.417974i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.3524 | −1.00874 | −0.504370 | − | 0.863488i | \(-0.668275\pi\) | ||||
−0.504370 | + | 0.863488i | \(0.668275\pi\) | |||||||
\(332\) | −13.3462 | − | 7.98091i | −0.732465 | − | 0.438009i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 27.5669 | + | 7.61367i | 1.50839 | + | 0.416601i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 5.39201i | − | 0.293721i | −0.989157 | − | 0.146861i | \(-0.953083\pi\) | ||
0.989157 | − | 0.146861i | \(-0.0469169\pi\) | |||||||
\(338\) | −4.67625 | + | 16.9313i | −0.254354 | + | 0.920943i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −12.0019 | −0.649937 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.4511 | −0.726289 | ||||||||
\(344\) | 4.72229 | + | 4.94483i | 0.254609 | + | 0.266607i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −29.6326 | − | 8.18420i | −1.59306 | − | 0.439985i | ||||
\(347\) | 21.9173 | 1.17658 | 0.588292 | − | 0.808649i | \(-0.299801\pi\) | ||||
0.588292 | + | 0.808649i | \(0.299801\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 7.01567i | − | 0.375540i | −0.982213 | − | 0.187770i | \(-0.939874\pi\) | ||
0.982213 | − | 0.187770i | \(-0.0601260\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.35528 | + | 14.7657i | 0.178837 | + | 0.787017i | ||||
\(353\) | −21.5542 | −1.14721 | −0.573606 | − | 0.819131i | \(-0.694456\pi\) | ||||
−0.573606 | + | 0.819131i | \(0.694456\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 6.87527 | − | 11.4972i | 0.364389 | − | 0.609352i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 18.5604 | + | 5.12619i | 0.980950 | + | 0.270928i | ||||
\(359\) | −30.1894 | −1.59334 | −0.796669 | − | 0.604416i | \(-0.793406\pi\) | ||||
−0.796669 | + | 0.604416i | \(0.793406\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.65577 | −0.402935 | ||||||||
\(362\) | 9.39222 | + | 2.59403i | 0.493644 | + | 0.136339i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.36089 | + | 0.813805i | 0.0713302 | + | 0.0426550i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.71691 | −0.194021 | −0.0970105 | − | 0.995283i | \(-0.530928\pi\) | ||||
−0.0970105 | + | 0.995283i | \(0.530928\pi\) | |||||||
\(368\) | −17.5609 | + | 9.43254i | −0.915424 | + | 0.491705i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.04526i | 0.0542671i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.1055 | −1.09280 | −0.546400 | − | 0.837524i | \(-0.684002\pi\) | ||||
−0.546400 | + | 0.837524i | \(0.684002\pi\) | |||||||
\(374\) | −7.94818 | − | 2.19520i | −0.410991 | − | 0.113511i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −14.2199 | − | 14.8900i | −0.733335 | − | 0.767893i | ||||
\(377\) | −6.00377 | −0.309210 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.4625 | 0.948355 | 0.474178 | − | 0.880429i | \(-0.342745\pi\) | ||||
0.474178 | + | 0.880429i | \(0.342745\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.309879 | − | 1.12198i | 0.0158548 | − | 0.0574055i | ||||
\(383\) | 22.7946i | 1.16475i | 0.812921 | + | 0.582375i | \(0.197876\pi\) | ||||
−0.812921 | + | 0.582375i | \(0.802124\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 28.1460 | + | 7.77361i | 1.43259 | + | 0.395666i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −13.6594 | + | 22.8421i | −0.693451 | + | 1.15963i | ||||
\(389\) | 29.6897 | 1.50533 | 0.752665 | − | 0.658404i | \(-0.228768\pi\) | ||||
0.752665 | + | 0.658404i | \(0.228768\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 10.8551i | − | 0.548965i | ||||||
\(392\) | 12.0998 | − | 11.5552i | 0.611130 | − | 0.583627i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 10.4633 | + | 2.88986i | 0.527136 | + | 0.145589i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.2511 | 0.564678 | 0.282339 | − | 0.959315i | \(-0.408890\pi\) | ||||
0.282339 | + | 0.959315i | \(0.408890\pi\) | |||||||
\(398\) | 26.8696 | + | 7.42109i | 1.34685 | + | 0.371986i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 17.1280i | − | 0.855331i | −0.903937 | − | 0.427666i | \(-0.859336\pi\) | ||
0.903937 | − | 0.427666i | \(-0.140664\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | − | 3.41321i | − | 0.170024i | ||||||
\(404\) | 6.77913 | + | 4.05387i | 0.337274 | + | 0.201688i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.09248 | − | 11.1970i | 0.153477 | − | 0.555696i | ||||
\(407\) | − | 1.77637i | − | 0.0880515i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 22.2892 | 1.10213 | 0.551065 | − | 0.834462i | \(-0.314222\pi\) | ||||
0.551065 | + | 0.834462i | \(0.314222\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −29.7681 | − | 17.8011i | −1.46657 | − | 0.876999i | ||||
\(413\) | 5.15197i | 0.253512i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −4.19923 | + | 0.954209i | −0.205884 | + | 0.0467840i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −12.2900 | − | 3.39437i | −0.601125 | − | 0.166024i | ||||
\(419\) | 29.9477i | 1.46304i | 0.681820 | + | 0.731520i | \(0.261189\pi\) | ||||
−0.681820 | + | 0.731520i | \(0.738811\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 0.457304i | − | 0.0222877i | −0.999938 | − | 0.0111438i | \(-0.996453\pi\) | ||
0.999938 | − | 0.0111438i | \(-0.00354726\pi\) | |||||||
\(422\) | −1.30520 | + | 4.72575i | −0.0635362 | + | 0.230046i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.96053 | − | 2.05291i | −0.0952116 | − | 0.0996984i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.9927i | 0.628761i | ||||||||
\(428\) | 10.5387 | + | 6.30206i | 0.509406 | + | 0.304621i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 37.5538 | 1.80890 | 0.904452 | − | 0.426576i | \(-0.140280\pi\) | ||||
0.904452 | + | 0.426576i | \(0.140280\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 11.5530i | − | 0.555200i | −0.960697 | − | 0.277600i | \(-0.910461\pi\) | ||
0.960697 | − | 0.277600i | \(-0.0895389\pi\) | |||||||
\(434\) | 6.36560 | + | 1.75811i | 0.305559 | + | 0.0843920i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −18.0689 | + | 30.2159i | −0.865344 | + | 1.44708i | ||||
\(437\) | − | 16.7849i | − | 0.802930i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 31.9187i | 1.52339i | 0.647933 | + | 0.761697i | \(0.275634\pi\) | ||||
−0.647933 | + | 0.761697i | \(0.724366\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.624293 | − | 2.26038i | 0.0296946 | − | 0.107516i | ||||
\(443\) | −29.7160 | −1.41185 | −0.705925 | − | 0.708287i | \(-0.749468\pi\) | ||||
−0.705925 | + | 0.708287i | \(0.749468\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 6.77185 | − | 24.5189i | 0.320656 | − | 1.16100i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.383391 | − | 8.32303i | 0.0181135 | − | 0.393226i | ||||
\(449\) | 4.98651i | 0.235328i | 0.993053 | + | 0.117664i | \(0.0375405\pi\) | ||||
−0.993053 | + | 0.117664i | \(0.962459\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −23.9465 | −1.12760 | ||||||||
\(452\) | −16.3522 | − | 9.77853i | −0.769145 | − | 0.459943i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −9.58246 | + | 34.6953i | −0.449727 | + | 1.62833i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 28.7278i | 1.34383i | 0.740628 | + | 0.671915i | \(0.234528\pi\) | ||||
−0.740628 | + | 0.671915i | \(0.765472\pi\) | |||||||
\(458\) | −22.9661 | − | 6.34298i | −1.07313 | − | 0.296388i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 21.1683 | 0.985908 | 0.492954 | − | 0.870055i | \(-0.335917\pi\) | ||||
0.492954 | + | 0.870055i | \(0.335917\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.4206 | 0.577236 | 0.288618 | − | 0.957444i | \(-0.406804\pi\) | ||||
0.288618 | + | 0.957444i | \(0.406804\pi\) | |||||||
\(464\) | 14.9277 | + | 27.7915i | 0.693003 | + | 1.29019i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.401833 | + | 1.45492i | −0.0186146 | + | 0.0673979i | ||||
\(467\) | −3.23928 | −0.149896 | −0.0749479 | − | 0.997187i | \(-0.523879\pi\) | ||||
−0.0749479 | + | 0.997187i | \(0.523879\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 14.9598i | − | 0.690777i | ||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.66323 | − | 10.1186i | −0.444786 | − | 0.465747i | ||||
\(473\) | 6.47091 | 0.297533 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 3.89403 | + | 2.32860i | 0.178483 | + | 0.106731i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.83502 | + | 24.7476i | −0.312627 | + | 1.13193i | ||||
\(479\) | 14.2397 | 0.650627 | 0.325313 | − | 0.945606i | \(-0.394530\pi\) | ||||
0.325313 | + | 0.945606i | \(0.394530\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.505183 | 0.0230343 | ||||||||
\(482\) | −5.01013 | + | 18.1402i | −0.228205 | + | 0.826265i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.58252 | − | 3.93630i | −0.299205 | − | 0.178923i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 28.2812 | 1.28154 | 0.640772 | − | 0.767732i | \(-0.278615\pi\) | ||||
0.640772 | + | 0.767732i | \(0.278615\pi\) | |||||||
\(488\) | −24.3696 | − | 25.5180i | −1.10316 | − | 1.15515i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 24.8493i | − | 1.12143i | −0.828008 | − | 0.560716i | \(-0.810526\pi\) | ||
0.828008 | − | 0.560716i | \(-0.189474\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −17.1790 | −0.773705 | ||||||||
\(494\) | 0.965325 | − | 3.49516i | 0.0434320 | − | 0.157255i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −15.7998 | + | 8.48659i | −0.709431 | + | 0.381059i | ||||
\(497\) | 4.63364 | 0.207847 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.57416 | 0.428598 | 0.214299 | − | 0.976768i | \(-0.431253\pi\) | ||||
0.214299 | + | 0.976768i | \(0.431253\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −15.6728 | − | 4.32865i | −0.699510 | − | 0.193197i | ||||
\(503\) | 4.30319i | 0.191870i | 0.995388 | + | 0.0959350i | \(0.0305841\pi\) | ||||
−0.995388 | + | 0.0959350i | \(0.969416\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −5.02230 | + | 18.1843i | −0.223268 | + | 0.808389i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −18.2861 | − | 10.9350i | −0.811317 | − | 0.485162i | ||||
\(509\) | −20.3575 | −0.902330 | −0.451165 | − | 0.892441i | \(-0.648991\pi\) | ||||
−0.451165 | + | 0.892441i | \(0.648991\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 3.80741i | − | 0.168430i | ||||||
\(512\) | 14.8580 | + | 17.0657i | 0.656637 | + | 0.754207i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −2.77416 | + | 10.0444i | −0.122363 | + | 0.443041i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −19.4854 | −0.856965 | ||||||||
\(518\) | −0.260214 | + | 0.942161i | −0.0114332 | + | 0.0413962i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 4.03301i | − | 0.176689i | −0.996090 | − | 0.0883447i | \(-0.971842\pi\) | ||
0.996090 | − | 0.0883447i | \(-0.0281577\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 32.7163i | − | 1.43058i | −0.698825 | − | 0.715292i | \(-0.746294\pi\) | ||
0.698825 | − | 0.715292i | \(-0.253706\pi\) | |||||||
\(524\) | 15.0118 | − | 25.1037i | 0.655795 | − | 1.09666i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.36403 | + | 0.652919i | 0.103077 | + | 0.0284686i | ||||
\(527\) | − | 9.76648i | − | 0.425435i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.83484 | −0.0797757 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 6.02121 | + | 3.60064i | 0.261053 | + | 0.156108i | ||||
\(533\) | − | 6.81015i | − | 0.294980i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 28.0591 | + | 29.3813i | 1.21197 | + | 1.26908i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 6.31942 | − | 22.8808i | 0.272449 | − | 0.986460i | ||||
\(539\) | − | 15.8340i | − | 0.682019i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.20942i | 0.137984i | 0.997617 | + | 0.0689919i | \(0.0219783\pi\) | ||||
−0.997617 | + | 0.0689919i | \(0.978022\pi\) | |||||||
\(542\) | −28.8217 | − | 7.96023i | −1.23800 | − | 0.341921i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −12.0156 | + | 2.73035i | −0.515164 | + | 0.117063i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 14.7898i | − | 0.632364i | −0.948699 | − | 0.316182i | \(-0.897599\pi\) | ||
0.948699 | − | 0.316182i | \(-0.102401\pi\) | |||||||
\(548\) | 28.5992 | + | 17.1021i | 1.22170 | + | 0.730567i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −26.5634 | −1.13164 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.8930i | 0.590790i | ||||||||
\(554\) | −10.2535 | + | 37.1250i | −0.435630 | + | 1.57729i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.24664 | − | 2.53946i | −0.180098 | − | 0.107697i | ||||
\(557\) | 0.138067i | 0.00585009i | 0.999996 | + | 0.00292504i | \(0.000931071\pi\) | ||||
−0.999996 | + | 0.00292504i | \(0.999069\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.84026i | 0.0778348i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.41151 | + | 1.77079i | 0.270453 | + | 0.0746962i | ||||
\(563\) | −4.06536 | −0.171335 | −0.0856673 | − | 0.996324i | \(-0.527302\pi\) | ||||
−0.0856673 | + | 0.996324i | \(0.527302\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 15.9157 | + | 4.39574i | 0.668987 | + | 0.184767i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.10059 | + | 8.69103i | −0.381852 | + | 0.364667i | ||||
\(569\) | − | 25.1962i | − | 1.05628i | −0.849158 | − | 0.528139i | \(-0.822890\pi\) | ||
0.849158 | − | 0.528139i | \(-0.177110\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 38.8322 | 1.62508 | 0.812538 | − | 0.582908i | \(-0.198085\pi\) | ||||
0.812538 | + | 0.582908i | \(0.198085\pi\) | |||||||
\(572\) | −2.09161 | + | 3.49772i | −0.0874547 | + | 0.146247i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 12.7009 | + | 3.50784i | 0.530123 | + | 0.146414i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 37.2003i | 1.54867i | 0.632777 | + | 0.774334i | \(0.281915\pi\) | ||||
−0.632777 | + | 0.774334i | \(0.718085\pi\) | |||||||
\(578\) | −4.61407 | + | 16.7062i | −0.191920 | + | 0.694886i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 8.09773 | 0.335950 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.68649 | −0.111263 | ||||||||
\(584\) | 7.14133 | + | 7.47786i | 0.295510 | + | 0.309436i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −18.9540 | − | 5.23487i | −0.782981 | − | 0.216251i | ||||
\(587\) | 36.6223 | 1.51156 | 0.755781 | − | 0.654824i | \(-0.227257\pi\) | ||||
0.755781 | + | 0.654824i | \(0.227257\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 15.1016i | − | 0.622251i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.25608 | − | 2.33850i | −0.0516248 | − | 0.0961116i | ||||
\(593\) | −9.80367 | −0.402589 | −0.201294 | − | 0.979531i | \(-0.564515\pi\) | ||||
−0.201294 | + | 0.979531i | \(0.564515\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −18.4822 | − | 11.0522i | −0.757060 | − | 0.452717i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −5.17143 | − | 1.42829i | −0.211475 | − | 0.0584072i | ||||
\(599\) | −9.54489 | −0.389994 | −0.194997 | − | 0.980804i | \(-0.562470\pi\) | ||||
−0.194997 | + | 0.980804i | \(0.562470\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.8167 | 0.604386 | 0.302193 | − | 0.953247i | \(-0.402281\pi\) | ||||
0.302193 | + | 0.953247i | \(0.402281\pi\) | |||||||
\(602\) | −3.43207 | − | 0.947900i | −0.139881 | − | 0.0386335i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.63182 | + | 4.40109i | −0.107087 | + | 0.179078i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 14.4606 | 0.586936 | 0.293468 | − | 0.955969i | \(-0.405191\pi\) | ||||
0.293468 | + | 0.955969i | \(0.405191\pi\) | |||||||
\(608\) | −18.5793 | + | 4.22186i | −0.753491 | + | 0.171219i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 5.54144i | − | 0.224183i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −32.6016 | −1.31677 | −0.658384 | − | 0.752683i | \(-0.728760\pi\) | ||||
−0.658384 | + | 0.752683i | \(0.728760\pi\) | |||||||
\(614\) | 0.926487 | + | 0.255885i | 0.0373900 | + | 0.0103267i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.44585 | − | 5.70248i | −0.219419 | − | 0.229759i | ||||
\(617\) | 19.6531 | 0.791205 | 0.395603 | − | 0.918422i | \(-0.370536\pi\) | ||||
0.395603 | + | 0.918422i | \(0.370536\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.939202 | −0.0377497 | −0.0188748 | − | 0.999822i | \(-0.506008\pi\) | ||||
−0.0188748 | + | 0.999822i | \(0.506008\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 6.13980 | − | 22.2304i | 0.246184 | − | 0.891359i | ||||
\(623\) | 6.97590i | 0.279484i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 8.42317 | + | 2.32639i | 0.336658 | + | 0.0929812i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 37.1604 | + | 22.2217i | 1.48286 | + | 0.886742i | ||||
\(629\) | 1.44552 | 0.0576366 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 2.56398i | − | 0.102071i | −0.998697 | − | 0.0510353i | \(-0.983748\pi\) | ||
0.998697 | − | 0.0510353i | \(-0.0162521\pi\) | |||||||
\(632\) | −26.0582 | − | 27.2862i | −1.03654 | − | 1.08539i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −40.1847 | − | 11.0986i | −1.59594 | − | 0.440781i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.50304 | 0.178417 | ||||||||
\(638\) | 28.7781 | + | 7.94818i | 1.13933 | + | 0.314672i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 7.81493i | 0.308671i | 0.988018 | + | 0.154336i | \(0.0493237\pi\) | ||||
−0.988018 | + | 0.154336i | \(0.950676\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 41.2496i | 1.62673i | 0.581757 | + | 0.813363i | \(0.302366\pi\) | ||||
−0.581757 | + | 0.813363i | \(0.697634\pi\) | |||||||
\(644\) | 5.32750 | − | 8.90896i | 0.209933 | − | 0.351062i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.76216 | − | 10.0010i | 0.108676 | − | 0.393483i | ||||
\(647\) | − | 25.6101i | − | 1.00684i | −0.864043 | − | 0.503418i | \(-0.832075\pi\) | ||
0.864043 | − | 0.503418i | \(-0.167925\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −13.2414 | −0.519771 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.89087 | + | 3.16202i | −0.0740521 | + | 0.123834i | ||||
\(653\) | 10.3906i | 0.406615i | 0.979115 | + | 0.203307i | \(0.0651691\pi\) | ||||
−0.979115 | + | 0.203307i | \(0.934831\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −31.5242 | + | 16.9327i | −1.23081 | + | 0.661112i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 10.3347 | + | 2.85434i | 0.402890 | + | 0.111274i | ||||
\(659\) | − | 38.7919i | − | 1.51112i | −0.655081 | − | 0.755559i | \(-0.727365\pi\) | ||
0.655081 | − | 0.755559i | \(-0.272635\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 7.45594i | − | 0.290002i | −0.989431 | − | 0.145001i | \(-0.953681\pi\) | ||
0.989431 | − | 0.145001i | \(-0.0463186\pi\) | |||||||
\(662\) | −6.90958 | + | 25.0176i | −0.268549 | + | 0.972336i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −15.9041 | + | 15.1884i | −0.617201 | + | 0.589424i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 39.3031i | 1.52182i | ||||||||
\(668\) | 20.7576 | − | 34.7120i | 0.803134 | − | 1.34305i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −33.3934 | −1.28914 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 21.3878i | − | 0.824439i | −0.911085 | − | 0.412219i | \(-0.864754\pi\) | ||
0.911085 | − | 0.412219i | \(-0.135246\pi\) | |||||||
\(674\) | −7.35026 | − | 2.03006i | −0.283121 | − | 0.0781950i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 21.3198 | + | 12.7491i | 0.819994 | + | 0.490350i | ||||
\(677\) | − | 19.4998i | − | 0.749437i | −0.927139 | − | 0.374718i | \(-0.877739\pi\) | ||
0.927139 | − | 0.374718i | \(-0.122261\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 13.8593i | − | 0.531873i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −4.51863 | + | 16.3607i | −0.173027 | + | 0.626482i | ||||
\(683\) | 4.37992 | 0.167593 | 0.0837965 | − | 0.996483i | \(-0.473295\pi\) | ||||
0.0837965 | + | 0.996483i | \(0.473295\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −5.06425 | + | 18.3362i | −0.193354 | + | 0.700079i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 8.51859 | − | 4.57562i | 0.324768 | − | 0.174444i | ||||
\(689\) | − | 0.764011i | − | 0.0291065i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −10.3754 | −0.394699 | −0.197350 | − | 0.980333i | \(-0.563233\pi\) | ||||
−0.197350 | + | 0.980333i | \(0.563233\pi\) | |||||||
\(692\) | −22.3130 | + | 37.3132i | −0.848214 | + | 1.41843i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.25176 | − | 29.8772i | 0.313232 | − | 1.13412i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 19.4864i | − | 0.738100i | ||||||
\(698\) | −9.56361 | − | 2.64136i | −0.361988 | − | 0.0999770i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −45.6169 | −1.72293 | −0.861463 | − | 0.507821i | \(-0.830451\pi\) | ||||
−0.861463 | + | 0.507821i | \(0.830451\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.23516 | 0.0843006 | ||||||||
\(704\) | 21.3916 | + | 0.985377i | 0.806225 | + | 0.0371378i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −8.11502 | + | 29.3821i | −0.305413 | + | 1.10581i | ||||
\(707\) | −4.11321 | −0.154693 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 18.7992i | − | 0.706018i | −0.935620 | − | 0.353009i | \(-0.885159\pi\) | ||
0.935620 | − | 0.353009i | \(-0.114841\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −13.0843 | − | 13.7009i | −0.490354 | − | 0.513461i | ||||
\(713\) | −22.3443 | −0.836800 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 13.9758 | − | 23.3712i | 0.522301 | − | 0.873423i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.3662 | + | 41.1535i | −0.424181 | + | 1.53584i | ||||
\(719\) | −31.7473 | −1.18397 | −0.591987 | − | 0.805947i | \(-0.701656\pi\) | ||||
−0.591987 | + | 0.805947i | \(0.701656\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 18.0617 | 0.672652 | ||||||||
\(722\) | −2.88235 | + | 10.4362i | −0.107270 | + | 0.388394i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 7.07224 | − | 11.8266i | 0.262838 | − | 0.439533i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.04221 | 0.0757415 | 0.0378707 | − | 0.999283i | \(-0.487942\pi\) | ||||
0.0378707 | + | 0.999283i | \(0.487942\pi\) | |||||||
\(728\) | 1.62173 | − | 1.54875i | 0.0601053 | − | 0.0574003i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.26568i | 0.194758i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 44.2124 | 1.63302 | 0.816512 | − | 0.577329i | \(-0.195905\pi\) | ||||
0.816512 | + | 0.577329i | \(0.195905\pi\) | |||||||
\(734\) | −1.39940 | + | 5.06680i | −0.0516526 | + | 0.187019i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.24664 | + | 27.4899i | 0.230254 | + | 1.01329i | ||||
\(737\) | 38.4490 | 1.41629 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −20.0000 | −0.735712 | −0.367856 | − | 0.929883i | \(-0.619908\pi\) | ||||
−0.367856 | + | 0.929883i | \(0.619908\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.42487 | + | 0.393534i | 0.0523087 | + | 0.0144471i | ||||
\(743\) | − | 0.230881i | − | 0.00847019i | −0.999991 | − | 0.00423509i | \(-0.998652\pi\) | ||
0.999991 | − | 0.00423509i | \(-0.00134808\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −7.94610 | + | 28.7705i | −0.290927 | + | 1.05336i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.98489 | + | 10.0083i | −0.218829 | + | 0.365940i | ||||
\(749\) | −6.39430 | −0.233643 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 11.8602i | − | 0.432784i | −0.976307 | − | 0.216392i | \(-0.930571\pi\) | ||
0.976307 | − | 0.216392i | \(-0.0694290\pi\) | |||||||
\(752\) | −25.6514 | + | 13.7782i | −0.935410 | + | 0.502440i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.26038 | + | 8.18420i | −0.0823184 | + | 0.298051i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.1644 | 0.696541 | 0.348271 | − | 0.937394i | \(-0.386769\pi\) | ||||
0.348271 | + | 0.937394i | \(0.386769\pi\) | |||||||
\(758\) | 6.95103 | − | 25.1677i | 0.252473 | − | 0.914131i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 39.4466i | − | 1.42994i | −0.699156 | − | 0.714970i | \(-0.746441\pi\) | ||
0.699156 | − | 0.714970i | \(-0.253559\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 18.3334i | − | 0.663713i | ||||||
\(764\) | −1.41279 | − | 0.844839i | −0.0511130 | − | 0.0305652i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 31.0731 | + | 8.58204i | 1.12272 | + | 0.310082i | ||||
\(767\) | − | 3.76573i | − | 0.135973i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.4822 | 0.558302 | 0.279151 | − | 0.960247i | \(-0.409947\pi\) | ||||
0.279151 | + | 0.960247i | \(0.409947\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 21.1936 | − | 35.4412i | 0.762775 | − | 1.27556i | ||||
\(773\) | 21.3689i | 0.768587i | 0.923211 | + | 0.384294i | \(0.125555\pi\) | ||||
−0.923211 | + | 0.384294i | \(0.874445\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 25.9951 | + | 27.2201i | 0.933170 | + | 0.977144i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11.1780 | − | 40.4724i | 0.400751 | − | 1.45100i | ||||
\(779\) | − | 30.1312i | − | 1.07956i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 11.9092i | 0.426145i | ||||||||
\(782\) | −14.7974 | − | 4.08688i | −0.529154 | − | 0.146147i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −11.1963 | − | 20.8446i | −0.399869 | − | 0.744450i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 21.0913i | − | 0.751824i | −0.926655 | − | 0.375912i | \(-0.877329\pi\) | ||
0.926655 | − | 0.375912i | \(-0.122671\pi\) | |||||||
\(788\) | 7.87878 | − | 13.1754i | 0.280670 | − | 0.469353i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.92166 | 0.352774 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 9.49676i | − | 0.337240i | ||||||
\(794\) | 4.23599 | − | 15.3373i | 0.150330 | − | 0.544300i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 20.2325 | − | 33.8340i | 0.717123 | − | 1.19922i | ||||
\(797\) | 16.1346i | 0.571515i | 0.958302 | + | 0.285758i | \(0.0922453\pi\) | ||||
−0.958302 | + | 0.285758i | \(0.907755\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 15.8562i | − | 0.560951i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −23.3485 | − | 6.44859i | −0.824464 | − | 0.227708i | ||||
\(803\) | 9.78569 | 0.345329 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −4.65281 | − | 1.28505i | −0.163888 | − | 0.0452641i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 8.07845 | − | 7.71489i | 0.284199 | − | 0.271409i | ||||
\(809\) | − | 32.1159i | − | 1.12913i | −0.825387 | − | 0.564567i | \(-0.809043\pi\) | ||
0.825387 | − | 0.564567i | \(-0.190957\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 36.7393 | 1.29009 | 0.645046 | − | 0.764144i | \(-0.276838\pi\) | ||||
0.645046 | + | 0.764144i | \(0.276838\pi\) | |||||||
\(812\) | −14.0991 | − | 8.43119i | −0.494783 | − | 0.295877i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.42151 | − | 0.668794i | −0.0848739 | − | 0.0234412i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.14216i | 0.284858i | ||||||||
\(818\) | 8.39176 | − | 30.3841i | 0.293411 | − | 1.06236i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −27.6548 | −0.965159 | −0.482579 | − | 0.875852i | \(-0.660300\pi\) | ||||
−0.482579 | + | 0.875852i | \(0.660300\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 30.9997 | 1.08058 | 0.540290 | − | 0.841479i | \(-0.318314\pi\) | ||||
0.540290 | + | 0.841479i | \(0.318314\pi\) | |||||||
\(824\) | −35.4736 | + | 33.8772i | −1.23578 | + | 1.18017i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 7.02305 | + | 1.93969i | 0.244363 | + | 0.0674904i | ||||
\(827\) | 52.9459 | 1.84111 | 0.920555 | − | 0.390612i | \(-0.127737\pi\) | ||||
0.920555 | + | 0.390612i | \(0.127737\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 10.6962i | 0.371494i | 0.982598 | + | 0.185747i | \(0.0594705\pi\) | ||||
−0.982598 | + | 0.185747i | \(0.940529\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.280232 | + | 6.08355i | −0.00971528 | + | 0.210909i | ||||
\(833\) | 12.8849 | 0.446435 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −9.25425 | + | 15.4755i | −0.320065 | + | 0.535232i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 40.8240 | + | 11.2751i | 1.41024 | + | 0.389493i | ||||
\(839\) | 35.9077 | 1.23967 | 0.619836 | − | 0.784732i | \(-0.287199\pi\) | ||||
0.619836 | + | 0.784732i | \(0.287199\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 33.2003 | 1.14484 | ||||||||
\(842\) | −0.623387 | − | 0.172173i | −0.0214833 | − | 0.00593346i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.95064 | + | 3.55844i | 0.204829 | + | 0.122487i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.99392 | 0.137233 | ||||||||
\(848\) | −3.53661 | + | 1.89963i | −0.121448 | + | 0.0652337i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 3.30713i | − | 0.113367i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 27.8867 | 0.954824 | 0.477412 | − | 0.878680i | \(-0.341575\pi\) | ||||
0.477412 | + | 0.878680i | \(0.341575\pi\) | |||||||
\(854\) | 17.7114 | + | 4.89168i | 0.606071 | + | 0.167390i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 12.5586 | − | 11.9934i | 0.429243 | − | 0.409926i | ||||
\(857\) | 12.2792 | 0.419451 | 0.209725 | − | 0.977760i | \(-0.432743\pi\) | ||||
0.209725 | + | 0.977760i | \(0.432743\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 54.1322 | 1.84697 | 0.923484 | − | 0.383638i | \(-0.125329\pi\) | ||||
0.923484 | + | 0.383638i | \(0.125329\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 14.1388 | − | 51.1925i | 0.481570 | − | 1.74362i | ||||
\(863\) | − | 26.7638i | − | 0.911052i | −0.890223 | − | 0.455526i | \(-0.849451\pi\) | ||
0.890223 | − | 0.455526i | \(-0.150549\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −15.7487 | − | 4.34962i | −0.535163 | − | 0.147806i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4.79323 | − | 8.01553i | 0.162693 | − | 0.272065i | ||||
\(869\) | −35.7073 | −1.21129 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 10.9345i | 0.370502i | ||||||||
\(872\) | 34.3868 | + | 36.0073i | 1.16448 | + | 1.21936i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −22.8808 | − | 6.31942i | −0.773953 | − | 0.213757i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 21.0134 | 0.709572 | 0.354786 | − | 0.934948i | \(-0.384554\pi\) | ||||
0.354786 | + | 0.934948i | \(0.384554\pi\) | |||||||
\(878\) | 43.5108 | + | 12.0172i | 1.46842 | + | 0.405561i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 22.0846i | 0.744049i | 0.928223 | + | 0.372025i | \(0.121336\pi\) | ||||
−0.928223 | + | 0.372025i | \(0.878664\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 35.7683i | − | 1.20370i | −0.798609 | − | 0.601850i | \(-0.794431\pi\) | ||
0.798609 | − | 0.601850i | \(-0.205569\pi\) | |||||||
\(884\) | −2.84626 | − | 1.70205i | −0.0957301 | − | 0.0572460i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.1879 | + | 40.5082i | −0.375865 | + | 1.36090i | ||||
\(887\) | 26.9214i | 0.903934i | 0.892035 | + | 0.451967i | \(0.149277\pi\) | ||||
−0.892035 | + | 0.451967i | \(0.850723\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 11.0951 | 0.372116 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −30.8740 | − | 18.4624i | −1.03374 | − | 0.618169i | ||||
\(893\) | − | 24.5179i | − | 0.820460i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −11.2014 | − | 3.65620i | −0.374213 | − | 0.122145i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.79749 | + | 1.87739i | 0.226835 | + | 0.0626494i | ||||
\(899\) | 35.3616i | 1.17938i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 2.18612i | − | 0.0728303i | ||||||
\(902\) | −9.01572 | + | 32.6433i | −0.300191 | + | 1.08690i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −19.4864 | + | 18.6094i | −0.648108 | + | 0.618941i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 37.7320i | 1.25287i | 0.779473 | + | 0.626436i | \(0.215487\pi\) | ||||
−0.779473 | + | 0.626436i | \(0.784513\pi\) | |||||||
\(908\) | 43.6881 | + | 26.1252i | 1.44984 | + | 0.866994i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −46.3639 | −1.53610 | −0.768052 | − | 0.640387i | \(-0.778774\pi\) | ||||
−0.768052 | + | 0.640387i | \(0.778774\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 20.8125i | 0.688793i | ||||||||
\(914\) | 39.1611 | + | 10.8159i | 1.29533 | + | 0.357757i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −17.2932 | + | 28.9187i | −0.571383 | + | 0.955502i | ||||
\(917\) | 15.2316i | 0.502991i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 35.3178i | − | 1.16503i | −0.812821 | − | 0.582513i | \(-0.802069\pi\) | ||
0.812821 | − | 0.582513i | \(-0.197931\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 7.96976 | − | 28.8562i | 0.262470 | − | 0.950328i | ||||
\(923\) | −3.38687 | −0.111480 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 4.67631 | − | 16.9315i | 0.153673 | − | 0.556405i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 43.5049 | − | 9.88581i | 1.42812 | − | 0.324518i | ||||
\(929\) | − | 18.4028i | − | 0.603775i | −0.953344 | − | 0.301888i | \(-0.902383\pi\) | ||
0.953344 | − | 0.301888i | \(-0.0976167\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 19.9235 | 0.652966 | ||||||||
\(932\) | 1.83203 | + | 1.09554i | 0.0600101 | + | 0.0358856i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1.21957 | + | 4.41571i | −0.0399056 | + | 0.144486i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 22.3732i | − | 0.730901i | −0.930831 | − | 0.365451i | \(-0.880915\pi\) | ||
0.930831 | − | 0.365451i | \(-0.119085\pi\) | |||||||
\(938\) | −20.3928 | − | 5.63227i | −0.665848 | − | 0.183900i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 4.31410 | 0.140636 | 0.0703179 | − | 0.997525i | \(-0.477599\pi\) | ||||
0.0703179 | + | 0.997525i | \(0.477599\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −44.5820 | −1.45179 | ||||||||
\(944\) | −17.4316 | + | 9.36310i | −0.567350 | + | 0.304743i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.43626 | − | 8.82099i | 0.0792097 | − | 0.286795i | ||||
\(947\) | −21.7379 | −0.706386 | −0.353193 | − | 0.935551i | \(-0.614904\pi\) | ||||
−0.353193 | + | 0.935551i | \(0.614904\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.78295i | 0.0903385i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.64038 | − | 4.43154i | 0.150396 | − | 0.143627i | ||||
\(953\) | 47.7240 | 1.54593 | 0.772966 | − | 0.634448i | \(-0.218773\pi\) | ||||
0.772966 | + | 0.634448i | \(0.218773\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 31.1620 | + | 18.6347i | 1.00785 | + | 0.602689i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 5.36115 | − | 19.4112i | 0.173211 | − | 0.627147i | ||||
\(959\) | −17.3525 | −0.560340 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.8965 | 0.351501 | ||||||||
\(962\) | 0.190198 | − | 0.688653i | 0.00613225 | − | 0.0222031i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 22.8421 | + | 13.6594i | 0.735693 | + | 0.439940i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −22.6722 | −0.729089 | −0.364545 | − | 0.931186i | \(-0.618775\pi\) | ||||
−0.364545 | + | 0.931186i | \(0.618775\pi\) | |||||||
\(968\) | −7.84416 | + | 7.49114i | −0.252121 | + | 0.240774i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 32.9474i | − | 1.05733i | −0.848830 | − | 0.528667i | \(-0.822692\pi\) | ||
0.848830 | − | 0.528667i | \(-0.177308\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 2.57664 | 0.0826031 | ||||||||
\(974\) | 10.6477 | − | 38.5523i | 0.341175 | − | 1.23529i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −43.9606 | + | 23.6127i | −1.40714 | + | 0.755825i | ||||
\(977\) | 7.60198 | 0.243209 | 0.121604 | − | 0.992579i | \(-0.461196\pi\) | ||||
0.121604 | + | 0.992579i | \(0.461196\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −17.9292 | −0.573021 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −33.8739 | − | 9.35561i | −1.08096 | − | 0.298550i | ||||
\(983\) | 12.4057i | 0.395679i | 0.980234 | + | 0.197839i | \(0.0633925\pi\) | ||||
−0.980234 | + | 0.197839i | \(0.936608\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −6.46781 | + | 23.4181i | −0.205977 | + | 0.745783i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −4.40109 | − | 2.63182i | −0.140017 | − | 0.0837293i | ||||
\(989\) | 12.0471 | 0.383076 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 42.0500i | 1.33576i | 0.744268 | + | 0.667882i | \(0.232799\pi\) | ||||
−0.744268 | + | 0.667882i | \(0.767201\pi\) | |||||||
\(992\) | 5.62020 | + | 24.7331i | 0.178441 | + | 0.785276i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.74454 | − | 6.31647i | 0.0553334 | − | 0.200346i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 52.7506 | 1.67063 | 0.835314 | − | 0.549773i | \(-0.185286\pi\) | ||||
0.835314 | + | 0.549773i | \(0.185286\pi\) | |||||||
\(998\) | 3.60462 | − | 13.0513i | 0.114102 | − | 0.413131i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))