Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2400,2,Mod(1199,2400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2400, 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("2400.1199");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2400 = 2^{5} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2400.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: | \(19.1640964851\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | no (minimal twist has level 600) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1199.5 | ||
Character | \(\chi\) | \(=\) | 2400.1199 |
Dual form | 2400.2.m.e.1199.7 |
$q$-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 \(\left(\mathbb{Z}/2400\mathbb{Z}\right)^\times\).
\(n\) | \(577\) | \(901\) | \(1601\) | \(1951\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
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 | 0 | ||||||||
\(3\) | −1.12950 | − | 1.31310i | −0.652117 | − | 0.758118i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.34495 | −1.64224 | −0.821118 | − | 0.570758i | \(-0.806650\pi\) | ||||
−0.821118 | + | 0.570758i | \(0.806650\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.448458 | + | 2.96629i | −0.149486 | + | 0.988764i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 1.83679i | − | 0.553813i | −0.960897 | − | 0.276907i | \(-0.910691\pi\) | ||
0.960897 | − | 0.276907i | \(-0.0893093\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.588129 | 0.163118 | 0.0815588 | − | 0.996669i | \(-0.474010\pi\) | ||||
0.0815588 | + | 0.996669i | \(0.474010\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −5.37818 | −1.30440 | −0.652200 | − | 0.758047i | \(-0.726154\pi\) | ||||
−0.652200 | + | 0.758047i | \(0.726154\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.38776 | −1.23604 | −0.618018 | − | 0.786164i | \(-0.712064\pi\) | ||||
−0.618018 | + | 0.786164i | \(0.712064\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.90762 | + | 5.70535i | 1.07093 | + | 1.24501i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 2.40885i | − | 0.502280i | −0.967951 | − | 0.251140i | \(-0.919194\pi\) | ||
0.967951 | − | 0.251140i | \(-0.0808055\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.40157 | − | 2.76156i | 0.847082 | − | 0.531462i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.98077 | 1.48199 | 0.740996 | − | 0.671510i | \(-0.234354\pi\) | ||||
0.740996 | + | 0.671510i | \(0.234354\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.06575i | 1.26905i | 0.772904 | + | 0.634523i | \(0.218803\pi\) | ||||
−0.772904 | + | 0.634523i | \(0.781197\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.41189 | + | 2.07466i | −0.419856 | + | 0.361151i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.72080 | −0.447297 | −0.223648 | − | 0.974670i | \(-0.571797\pi\) | ||||
−0.223648 | + | 0.974670i | \(0.571797\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.664291 | − | 0.772271i | −0.106372 | − | 0.123662i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 3.42496i | − | 0.534888i | −0.963573 | − | 0.267444i | \(-0.913821\pi\) | ||
0.963573 | − | 0.267444i | \(-0.0861791\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 2.96772i | − | 0.452574i | −0.974061 | − | 0.226287i | \(-0.927341\pi\) | ||
0.974061 | − | 0.226287i | \(-0.0726587\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 9.81525i | 1.43170i | 0.698254 | + | 0.715850i | \(0.253961\pi\) | ||||
−0.698254 | + | 0.715850i | \(0.746039\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 11.8786 | 1.69694 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 6.07466 | + | 7.06208i | 0.850622 | + | 0.988889i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 6.65218i | − | 0.913748i | −0.889531 | − | 0.456874i | \(-0.848969\pi\) | ||
0.889531 | − | 0.456874i | \(-0.151031\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.08547 | + | 7.07466i | 0.806040 | + | 0.937061i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | − | 10.7564i | − | 1.40036i | −0.713967 | − | 0.700179i | \(-0.753103\pi\) | ||
0.713967 | − | 0.700179i | \(-0.246897\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.27803i | 1.18793i | 0.804491 | + | 0.593965i | \(0.202438\pi\) | ||||
−0.804491 | + | 0.593965i | \(0.797562\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.94853 | − | 12.8884i | 0.245492 | − | 1.62378i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.13536i | 0.505215i | 0.967569 | + | 0.252607i | \(0.0812881\pi\) | ||||
−0.967569 | + | 0.252607i | \(0.918712\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.16306 | + | 2.72080i | −0.380788 | + | 0.327546i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.2241 | 1.45073 | 0.725367 | − | 0.688363i | \(-0.241670\pi\) | ||||
0.725367 | + | 0.688363i | \(0.241670\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.42003i | 0.517325i | 0.965968 | + | 0.258663i | \(0.0832818\pi\) | ||||
−0.965968 | + | 0.258663i | \(0.916718\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 7.98077i | 0.909493i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.5870i | 1.41614i | 0.706141 | + | 0.708072i | \(0.250435\pi\) | ||||
−0.706141 | + | 0.708072i | \(0.749565\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.59777 | − | 2.66052i | −0.955308 | − | 0.295613i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 11.5594 | 1.26881 | 0.634404 | − | 0.773002i | \(-0.281246\pi\) | ||||
0.634404 | + | 0.773002i | \(0.281246\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −9.01428 | − | 10.4795i | −0.966432 | − | 1.12352i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 4.21222i | − | 0.446495i | −0.974762 | − | 0.223247i | \(-0.928334\pi\) | ||
0.974762 | − | 0.223247i | \(-0.0716658\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.55539 | −0.267878 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 9.27803 | − | 7.98077i | 0.962087 | − | 0.827567i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 2.16763i | − | 0.220090i | −0.993927 | − | 0.110045i | \(-0.964901\pi\) | ||
0.993927 | − | 0.110045i | \(-0.0350995\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.44846 | + | 0.823724i | 0.547591 | + | 0.0827874i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.16306 | −0.314736 | −0.157368 | − | 0.987540i | \(-0.550301\pi\) | ||||
−0.157368 | + | 0.987540i | \(0.550301\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 12.5870 | 1.24023 | 0.620115 | − | 0.784511i | \(-0.287086\pi\) | ||||
0.620115 | + | 0.784511i | \(0.287086\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.79002 | 0.366395 | 0.183197 | − | 0.983076i | \(-0.441355\pi\) | ||||
0.183197 | + | 0.983076i | \(0.441355\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.588129i | 0.0563325i | 0.999603 | + | 0.0281663i | \(0.00896678\pi\) | ||||
−0.999603 | + | 0.0281663i | \(0.991033\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.07314 | + | 3.57268i | 0.291690 | + | 0.339104i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −11.0621 | −1.04064 | −0.520319 | − | 0.853972i | \(-0.674187\pi\) | ||||
−0.520319 | + | 0.853972i | \(0.674187\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.263751 | + | 1.74456i | −0.0243838 | + | 0.161285i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 23.3679 | 2.14213 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.62620 | 0.693291 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.49731 | + | 3.86849i | −0.405508 | + | 0.348810i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.9552 | 1.14959 | 0.574796 | − | 0.818297i | \(-0.305081\pi\) | ||||
0.574796 | + | 0.818297i | \(0.305081\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −3.89692 | + | 3.35205i | −0.343104 | + | 0.295131i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 2.98699i | − | 0.260974i | −0.991450 | − | 0.130487i | \(-0.958346\pi\) | ||
0.991450 | − | 0.130487i | \(-0.0416541\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 23.4095 | 2.02986 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 5.66820 | 0.484267 | 0.242133 | − | 0.970243i | \(-0.422153\pi\) | ||||
0.242133 | + | 0.970243i | \(0.422153\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.69075 | −0.228226 | −0.114113 | − | 0.993468i | \(-0.536403\pi\) | ||||
−0.114113 | + | 0.993468i | \(0.536403\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.8884 | − | 11.0863i | 1.08540 | − | 0.933637i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | − | 1.08027i | − | 0.0903367i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −13.4169 | − | 15.5978i | −1.10661 | − | 1.28648i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 20.9591 | 1.71703 | 0.858517 | − | 0.512785i | \(-0.171386\pi\) | ||||
0.858517 | + | 0.512785i | \(0.171386\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 3.16869i | − | 0.257865i | −0.991653 | − | 0.128932i | \(-0.958845\pi\) | ||
0.991653 | − | 0.128932i | \(-0.0411550\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.41189 | − | 15.9533i | 0.194990 | − | 1.28974i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −11.9988 | −0.957611 | −0.478805 | − | 0.877921i | \(-0.658930\pi\) | ||||
−0.478805 | + | 0.877921i | \(0.658930\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −8.73498 | + | 7.51364i | −0.692729 | + | 0.595871i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.4663i | 0.824864i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 13.1816i | − | 1.03246i | −0.856449 | − | 0.516231i | \(-0.827335\pi\) | ||
0.856449 | − | 0.516231i | \(-0.172665\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.73744i | 0.289211i | 0.989489 | + | 0.144606i | \(0.0461914\pi\) | ||||
−0.989489 | + | 0.144606i | \(0.953809\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.6541 | −0.973393 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.41618 | − | 15.9817i | 0.184770 | − | 1.22215i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | − | 6.65218i | − | 0.505756i | −0.967498 | − | 0.252878i | \(-0.918623\pi\) | ||
0.967498 | − | 0.252878i | \(-0.0813772\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −14.1242 | + | 12.1493i | −1.06164 | + | 0.913198i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 18.4093i | 1.37598i | 0.725722 | + | 0.687988i | \(0.241506\pi\) | ||||
−0.725722 | + | 0.687988i | \(0.758494\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 19.5125i | − | 1.45035i | −0.688564 | − | 0.725175i | \(-0.741759\pi\) | ||
0.688564 | − | 0.725175i | \(-0.258241\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 12.1830 | − | 10.4795i | 0.900591 | − | 0.774670i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.87859i | 0.722394i | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −19.1246 | + | 11.9988i | −1.39111 | + | 0.872786i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −8.73498 | −0.632041 | −0.316020 | − | 0.948752i | \(-0.602347\pi\) | ||||
−0.316020 | + | 0.948752i | \(0.602347\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | − | 1.47689i | − | 0.106309i | −0.998586 | − | 0.0531543i | \(-0.983072\pi\) | ||
0.998586 | − | 0.0531543i | \(-0.0169275\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.1438i | 0.793965i | 0.917826 | + | 0.396982i | \(0.129943\pi\) | ||||
−0.917826 | + | 0.396982i | \(0.870057\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 2.80041i | − | 0.198516i | −0.995062 | − | 0.0992578i | \(-0.968353\pi\) | ||
0.995062 | − | 0.0992578i | \(-0.0316469\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 5.43014 | − | 4.67089i | 0.383012 | − | 0.329459i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −34.6760 | −2.43378 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 7.14536 | + | 1.08027i | 0.496637 | + | 0.0750839i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 9.89618i | 0.684533i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.86464 | −0.679110 | −0.339555 | − | 0.940586i | \(-0.610276\pi\) | ||||
−0.339555 | + | 0.940586i | \(0.610276\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −13.8071 | − | 16.0515i | −0.946048 | − | 1.09983i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 30.7003i | − | 2.08407i | ||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.80394 | − | 4.99243i | 0.392194 | − | 0.337357i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.16306 | −0.212771 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.62415 | 0.108761 | 0.0543806 | − | 0.998520i | \(-0.482682\pi\) | ||||
0.0543806 | + | 0.998520i | \(0.482682\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.94021 | 0.327893 | 0.163947 | − | 0.986469i | \(-0.447578\pi\) | ||||
0.163947 | + | 0.986469i | \(0.447578\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 15.2471i | 1.00756i | 0.863832 | + | 0.503779i | \(0.168058\pi\) | ||||
−0.863832 | + | 0.503779i | \(0.831942\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 10.4795 | − | 9.01428i | 0.689503 | − | 0.593096i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 22.3000 | 1.46092 | 0.730460 | − | 0.682955i | \(-0.239306\pi\) | ||||
0.730460 | + | 0.682955i | \(0.239306\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 16.5279 | − | 14.2170i | 1.07360 | − | 0.923492i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 14.8813 | 0.962589 | 0.481294 | − | 0.876559i | \(-0.340167\pi\) | ||||
0.481294 | + | 0.876559i | \(0.340167\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.523114 | −0.0336968 | −0.0168484 | − | 0.999858i | \(-0.505363\pi\) | ||||
−0.0168484 | + | 0.999858i | \(0.505363\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 6.21766 | + | 14.2948i | 0.398863 | + | 0.917010i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.16869 | −0.201619 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −13.0563 | − | 15.1786i | −0.827412 | − | 0.961906i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.82378i | 0.304474i | 0.988344 | + | 0.152237i | \(0.0486477\pi\) | ||||
−0.988344 | + | 0.152237i | \(0.951352\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.42456 | −0.278170 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 22.8859 | 1.42758 | 0.713792 | − | 0.700358i | \(-0.246976\pi\) | ||||
0.713792 | + | 0.700358i | \(0.246976\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 11.8217 | 0.734567 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.57904 | + | 23.6733i | −0.221537 | + | 1.46534i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 13.5527i | 0.835694i | 0.908517 | + | 0.417847i | \(0.137215\pi\) | ||||
−0.908517 | + | 0.417847i | \(0.862785\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.53107 | + | 4.75771i | −0.338496 | + | 0.291167i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 12.9783 | 0.791301 | 0.395651 | − | 0.918401i | \(-0.370519\pi\) | ||||
0.395651 | + | 0.918401i | \(0.370519\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.88631 | + | 3.35548i | 0.174688 | + | 0.203083i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 16.7917 | 1.00891 | 0.504457 | − | 0.863437i | \(-0.331693\pi\) | ||||
0.504457 | + | 0.863437i | \(0.331693\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −20.9591 | − | 3.16869i | −1.25479 | − | 0.189705i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 11.0464i | 0.658972i | 0.944161 | + | 0.329486i | \(0.106875\pi\) | ||||
−0.944161 | + | 0.329486i | \(0.893125\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 18.7047i | 1.11188i | 0.831223 | + | 0.555940i | \(0.187641\pi\) | ||||
−0.831223 | + | 0.555940i | \(0.812359\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 14.8813i | 0.878413i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 11.9248 | 0.701460 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.84632 | + | 2.44834i | −0.166854 | + | 0.143524i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 29.4457i | 1.72024i | 0.510093 | + | 0.860119i | \(0.329611\pi\) | ||||
−0.510093 | + | 0.860119i | \(0.670389\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −5.07240 | − | 8.08476i | −0.294331 | − | 0.469125i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | − | 1.41672i | − | 0.0819308i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.8946i | 0.743233i | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.57268 | + | 4.15341i | 0.205245 | + | 0.238607i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 33.2095i | 1.89537i | 0.319213 | + | 0.947683i | \(0.396581\pi\) | ||||
−0.319213 | + | 0.947683i | \(0.603419\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.2170 | − | 16.5279i | −0.808775 | − | 0.940241i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −25.7768 | −1.46167 | −0.730834 | − | 0.682556i | \(-0.760868\pi\) | ||||
−0.730834 | + | 0.682556i | \(0.760868\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 9.65410i | − | 0.545682i | −0.962059 | − | 0.272841i | \(-0.912037\pi\) | ||
0.962059 | − | 0.272841i | \(-0.0879633\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | − | 4.81770i | − | 0.270589i | −0.990805 | − | 0.135295i | \(-0.956802\pi\) | ||
0.990805 | − | 0.135295i | \(-0.0431981\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 14.6590i | − | 0.820747i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.28082 | − | 4.97667i | −0.238932 | − | 0.277770i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 28.9763 | 1.61229 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.772271 | − | 0.664291i | 0.0427067 | − | 0.0367354i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | − | 42.6468i | − | 2.35119i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.37380 | 0.0755110 | 0.0377555 | − | 0.999287i | \(-0.487979\pi\) | ||||
0.0377555 | + | 0.999287i | \(0.487979\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.22016 | − | 8.07068i | 0.0668646 | − | 0.442271i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.0925i | 0.713192i | 0.934259 | + | 0.356596i | \(0.116063\pi\) | ||||
−0.934259 | + | 0.356596i | \(0.883937\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 12.4947 | + | 14.5257i | 0.678618 | + | 0.788927i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.9783 | 0.702815 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −21.1972 | −1.14454 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 3.97936 | 0.213623 | 0.106812 | − | 0.994279i | \(-0.465936\pi\) | ||||
0.106812 | + | 0.994279i | \(0.465936\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 12.5870i | − | 0.673764i | −0.941547 | − | 0.336882i | \(-0.890628\pi\) | ||
0.941547 | − | 0.336882i | \(-0.109372\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.58869 | − | 1.62415i | 0.138174 | − | 0.0866908i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −0.787269 | −0.0419021 | −0.0209510 | − | 0.999781i | \(-0.506669\pi\) | ||||
−0.0209510 | + | 0.999781i | \(0.506669\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −26.3941 | − | 30.6844i | −1.39692 | − | 1.62399i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.08027 | −0.0570144 | −0.0285072 | − | 0.999594i | \(-0.509075\pi\) | ||||
−0.0285072 | + | 0.999594i | \(0.509075\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.0279 | 0.527785 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −8.61379 | − | 10.0140i | −0.452107 | − | 0.525596i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −14.5794 | −0.761038 | −0.380519 | − | 0.924773i | \(-0.624255\pi\) | ||||
−0.380519 | + | 0.924773i | \(0.624255\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 10.1594 | + | 1.53595i | 0.528878 | + | 0.0799583i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 28.9034i | 1.50059i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −31.5719 | −1.63473 | −0.817366 | − | 0.576118i | \(-0.804567\pi\) | ||||
−0.817366 | + | 0.576118i | \(0.804567\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4.69372 | 0.241739 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.61224 | 0.236915 | 0.118458 | − | 0.992959i | \(-0.462205\pi\) | ||||
0.118458 | + | 0.992959i | \(0.462205\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −14.6330 | − | 17.0115i | −0.749669 | − | 0.871526i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 14.6330i | 0.747709i | 0.927487 | + | 0.373854i | \(0.121964\pi\) | ||||
−0.927487 | + | 0.373854i | \(0.878036\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 8.80314 | + | 1.33090i | 0.447489 | + | 0.0676535i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −15.1388 | −0.767570 | −0.383785 | − | 0.923422i | \(-0.625380\pi\) | ||||
−0.383785 | + | 0.923422i | \(0.625380\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 12.9552i | 0.655175i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.92221 | + | 3.37380i | −0.197849 | + | 0.170186i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −18.3362 | −0.920268 | −0.460134 | − | 0.887849i | \(-0.652199\pi\) | ||||
−0.460134 | + | 0.887849i | \(0.652199\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −26.4411 | − | 30.7390i | −1.32371 | − | 1.53888i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 34.2381i | − | 1.70977i | −0.518820 | − | 0.854884i | \(-0.673628\pi\) | ||
0.518820 | − | 0.854884i | \(-0.326372\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.15557i | 0.207004i | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.99754i | 0.247719i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −18.6926 | −0.924291 | −0.462146 | − | 0.886804i | \(-0.652920\pi\) | ||||
−0.462146 | + | 0.886804i | \(0.652920\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.40223 | − | 7.44290i | −0.315799 | − | 0.367131i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 46.7359i | 2.29972i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3.03920 | + | 3.53322i | 0.148830 | + | 0.173023i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 5.24599i | − | 0.256283i | −0.991756 | − | 0.128142i | \(-0.959099\pi\) | ||
0.991756 | − | 0.128142i | \(-0.0409012\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 4.42456i | − | 0.215640i | −0.994170 | − | 0.107820i | \(-0.965613\pi\) | ||
0.994170 | − | 0.107820i | \(-0.0343870\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −29.1149 | − | 4.40173i | −1.41561 | − | 0.214019i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − | 40.3126i | − | 1.95086i | ||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.41850 | + | 1.22016i | −0.0684859 | + | 0.0589101i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −5.89797 | −0.284095 | −0.142048 | − | 0.989860i | \(-0.545369\pi\) | ||||
−0.142048 | + | 0.989860i | \(0.545369\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 32.2158i | 1.54819i | 0.633069 | + | 0.774095i | \(0.281795\pi\) | ||||
−0.633069 | + | 0.774095i | \(0.718205\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 12.9783i | 0.620837i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 2.27291i | − | 0.108480i | −0.998528 | − | 0.0542399i | \(-0.982726\pi\) | ||
0.998528 | − | 0.0542399i | \(-0.0172736\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.32705 | + | 35.2354i | −0.253669 | + | 1.67787i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.59091 | 0.218121 | 0.109060 | − | 0.994035i | \(-0.465216\pi\) | ||||
0.109060 | + | 0.994035i | \(0.465216\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −23.6733 | − | 27.5213i | −1.11971 | − | 1.30171i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 39.0461i | 1.84270i | 0.388736 | + | 0.921349i | \(0.372912\pi\) | ||||
−0.388736 | + | 0.921349i | \(0.627088\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.29093 | −0.296228 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.16081 | + | 3.57904i | −0.195492 | + | 0.168158i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4.96147i | 0.232088i | 0.993244 | + | 0.116044i | \(0.0370213\pi\) | ||||
−0.993244 | + | 0.116044i | \(0.962979\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −23.6724 | + | 14.8522i | −1.10493 | + | 0.693239i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −14.1271 | −0.657963 | −0.328981 | − | 0.944336i | \(-0.606705\pi\) | ||||
−0.328981 | + | 0.944336i | \(0.606705\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.2907 | −0.664146 | −0.332073 | − | 0.943254i | \(-0.607748\pi\) | ||||
−0.332073 | + | 0.943254i | \(0.607748\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −31.8469 | −1.47370 | −0.736849 | − | 0.676058i | \(-0.763687\pi\) | ||||
−0.736849 | + | 0.676058i | \(0.763687\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 17.9679i | − | 0.829682i | ||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 13.5527 | + | 15.7557i | 0.624475 | + | 0.725982i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −5.45109 | −0.250641 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 19.7323 | + | 2.98323i | 0.903481 | + | 0.136593i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 25.9566 | 1.18599 | 0.592994 | − | 0.805207i | \(-0.297946\pi\) | ||||
0.592994 | + | 0.805207i | \(0.297946\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.60018 | −0.0729619 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 13.7433 | − | 11.8217i | 0.625344 | − | 0.537908i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 24.4456 | 1.10773 | 0.553867 | − | 0.832605i | \(-0.313152\pi\) | ||||
0.553867 | + | 0.832605i | \(0.313152\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −17.3087 | + | 14.8886i | −0.782728 | + | 0.673286i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 37.6630i | − | 1.69971i | −0.527018 | − | 0.849854i | \(-0.676690\pi\) | ||
0.527018 | − | 0.849854i | \(-0.323310\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −42.9220 | −1.93311 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −53.1131 | −2.38245 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −36.7249 | −1.64403 | −0.822016 | − | 0.569464i | \(-0.807151\pi\) | ||||
−0.822016 | + | 0.569464i | \(0.807151\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.90762 | − | 4.22143i | 0.219256 | − | 0.188600i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 29.5142i | 1.31597i | 0.753029 | + | 0.657987i | \(0.228592\pi\) | ||||
−0.753029 | + | 0.657987i | \(0.771408\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 14.2928 | + | 16.6161i | 0.634766 | + | 0.737947i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −2.16054 | −0.0957642 | −0.0478821 | − | 0.998853i | \(-0.515247\pi\) | ||||
−0.0478821 | + | 0.998853i | \(0.515247\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 19.2048i | − | 0.849571i | ||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −23.7146 | + | 14.8786i | −1.04702 | + | 0.656906i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 18.0286 | 0.792895 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.73498 | + | 7.51364i | −0.383423 | + | 0.329812i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 9.39893i | 0.411775i | 0.978576 | + | 0.205887i | \(0.0660080\pi\) | ||||
−0.978576 | + | 0.205887i | \(0.933992\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 9.68638i | − | 0.423556i | −0.977318 | − | 0.211778i | \(-0.932075\pi\) | ||
0.977318 | − | 0.211778i | \(-0.0679253\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | − | 38.0009i | − | 1.65534i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.1974 | 0.747714 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 31.9065 | + | 4.82378i | 1.38462 | + | 0.209334i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 2.01431i | − | 0.0872497i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 24.1732 | − | 20.7933i | 1.04315 | − | 0.897298i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − | 21.8185i | − | 0.939789i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 13.1751i | 0.566441i | 0.959055 | + | 0.283221i | \(0.0914029\pi\) | ||||
−0.959055 | + | 0.283221i | \(0.908597\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −25.6218 | + | 22.0393i | −1.09954 | + | 0.945799i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 28.4113i | − | 1.21478i | −0.794404 | − | 0.607390i | \(-0.792217\pi\) | ||
0.794404 | − | 0.607390i | \(-0.207783\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −27.5213 | − | 4.16081i | −1.17458 | − | 0.177579i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −42.9984 | −1.83179 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − | 54.6897i | − | 2.32564i | ||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 32.1029i | 1.36024i | 0.733099 | + | 0.680122i | \(0.238073\pi\) | ||||
−0.733099 | + | 0.680122i | \(0.761927\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 1.74540i | − | 0.0738227i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.9716 | − | 11.1579i | 0.547660 | − | 0.471086i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −14.2406 | −0.600170 | −0.300085 | − | 0.953913i | \(-0.597015\pi\) | ||||
−0.300085 | + | 0.953913i | \(0.597015\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 37.3569 | + | 11.5598i | 1.56884 | + | 0.485466i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 9.08328i | 0.380791i | 0.981707 | + | 0.190396i | \(0.0609770\pi\) | ||||
−0.981707 | + | 0.190396i | \(0.939023\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.7432 | 0.658834 | 0.329417 | − | 0.944185i | \(-0.393148\pi\) | ||||
0.329417 | + | 0.944185i | \(0.393148\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 9.86616 | + | 11.4699i | 0.412165 | + | 0.479161i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 33.1974i | 1.38203i | 0.722842 | + | 0.691014i | \(0.242836\pi\) | ||||
−0.722842 | + | 0.691014i | \(0.757164\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.93930 | + | 1.66814i | −0.0805944 | + | 0.0693256i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −50.2250 | −2.08368 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −12.2187 | −0.506046 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 0.613686 | 0.0253295 | 0.0126648 | − | 0.999920i | \(-0.495969\pi\) | ||||
0.0126648 | + | 0.999920i | \(0.495969\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 38.0685i | − | 1.56859i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 14.6330 | − | 12.5870i | 0.601919 | − | 0.517758i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 15.5545 | 0.638747 | 0.319374 | − | 0.947629i | \(-0.396528\pi\) | ||||
0.319374 | + | 0.947629i | \(0.396528\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −3.67721 | + | 3.16306i | −0.150498 | + | 0.129456i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −39.0811 | −1.59681 | −0.798406 | − | 0.602119i | \(-0.794323\pi\) | ||||
−0.798406 | + | 0.602119i | \(0.794323\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −20.5231 | −0.837155 | −0.418578 | − | 0.908181i | \(-0.637471\pi\) | ||||
−0.418578 | + | 0.908181i | \(0.637471\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −12.2667 | − | 1.85454i | −0.499538 | − | 0.0755225i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10.8832 | −0.441735 | −0.220868 | − | 0.975304i | \(-0.570889\pi\) | ||||
−0.220868 | + | 0.975304i | \(0.570889\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 39.1666 | + | 45.5331i | 1.58711 | + | 1.84509i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.77263i | 0.233535i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 30.3350 | 1.22522 | 0.612610 | − | 0.790385i | \(-0.290119\pi\) | ||||
0.612610 | + | 0.790385i | \(0.290119\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.71447 | 0.350831 | 0.175416 | − | 0.984494i | \(-0.443873\pi\) | ||||
0.175416 | + | 0.984494i | \(0.443873\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 13.0323 | 0.523811 | 0.261906 | − | 0.965093i | \(-0.415649\pi\) | ||||
0.261906 | + | 0.965093i | \(0.415649\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.65218 | − | 10.6027i | −0.266943 | − | 0.425473i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 18.3019i | 0.733250i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 12.9947 | − | 11.1777i | 0.518957 | − | 0.446396i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 14.6330 | 0.583454 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 14.8599i | − | 0.591562i | −0.955256 | − | 0.295781i | \(-0.904420\pi\) | ||
0.955256 | − | 0.295781i | \(-0.0955798\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 11.1421 | + | 12.9533i | 0.442859 | + | 0.514845i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.98614 | 0.276801 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −5.48200 | + | 36.2602i | −0.216864 | + | 1.43443i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | − | 5.97397i | − | 0.235958i | −0.993016 | − | 0.117979i | \(-0.962358\pi\) | ||
0.993016 | − | 0.117979i | \(-0.0376415\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.7938i | 0.622848i | 0.950271 | + | 0.311424i | \(0.100806\pi\) | ||||
−0.950271 | + | 0.311424i | \(0.899194\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 14.8128i | 0.582351i | 0.956670 | + | 0.291175i | \(0.0940463\pi\) | ||||
−0.956670 | + | 0.291175i | \(0.905954\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −19.7572 | −0.775537 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −40.3126 | + | 34.6760i | −1.57997 | + | 1.35906i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 3.48912i | 0.136540i | 0.997667 | + | 0.0682699i | \(0.0217479\pi\) | ||||
−0.997667 | + | 0.0682699i | \(0.978252\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −13.1111 | − | 1.98220i | −0.511513 | − | 0.0773329i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 36.5563i | − | 1.42403i | −0.702163 | − | 0.712017i | \(-0.747782\pi\) | ||
0.702163 | − | 0.712017i | \(-0.252218\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 42.9220i | − | 1.66947i | −0.550650 | − | 0.834736i | \(-0.685620\pi\) | ||
0.550650 | − | 0.834736i | \(-0.314380\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 3.57268 | + | 4.15341i | 0.138751 | + | 0.161305i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 19.2245i | − | 0.744375i | ||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −1.83448 | − | 2.13267i | −0.0709251 | − | 0.0824538i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 17.0418 | 0.657892 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 46.2899i | 1.78434i | 0.451696 | + | 0.892172i | \(0.350819\pi\) | ||||
−0.451696 | + | 0.892172i | \(0.649181\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 27.7911i | − | 1.06810i | −0.845453 | − | 0.534049i | \(-0.820670\pi\) | ||
0.845453 | − | 0.534049i | \(-0.179330\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.41826i | 0.361440i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.57997 | − | 6.48699i | −0.213825 | − | 0.248582i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 33.6521 | 1.28766 | 0.643832 | − | 0.765167i | \(-0.277344\pi\) | ||||
0.643832 | + | 0.765167i | \(0.277344\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 20.0210 | − | 17.2216i | 0.763849 | − | 0.657047i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 3.91234i | − | 0.149048i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.6820 | 0.862864 | 0.431432 | − | 0.902145i | \(-0.358008\pi\) | ||||
0.431432 | + | 0.902145i | \(0.358008\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −23.6733 | − | 3.57904i | −0.899274 | − | 0.135956i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.4200i | 0.697708i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −25.1878 | − | 29.2821i | −0.952692 | − | 1.10755i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.6379 | 0.401789 | 0.200895 | − | 0.979613i | \(-0.435615\pi\) | ||||
0.200895 | + | 0.979613i | \(0.435615\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 14.6590 | 0.552875 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 13.7433 | 0.516872 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 20.5295i | 0.771002i | 0.922707 | + | 0.385501i | \(0.125971\pi\) | ||||
−0.922707 | + | 0.385501i | \(0.874029\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −37.3366 | − | 5.64472i | −1.40023 | − | 0.211694i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 17.0203 | 0.637417 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −16.8084 | − | 19.5406i | −0.627721 | − | 0.729756i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −14.8813 | −0.554977 | −0.277489 | − | 0.960729i | \(-0.589502\pi\) | ||||
−0.277489 | + | 0.960729i | \(0.589502\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −54.6897 | −2.03675 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.590858 | + | 0.686901i | 0.0219742 | + | 0.0255461i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.1239 | 0.598004 | 0.299002 | − | 0.954253i | \(-0.403346\pi\) | ||||
0.299002 | + | 0.954253i | \(0.403346\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 11.7476 | − | 24.3104i | 0.435096 | − | 0.900384i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 15.9610i | 0.590337i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 16.7310 | 0.617975 | 0.308988 | − | 0.951066i | \(-0.400010\pi\) | ||||
0.308988 | + | 0.951066i | \(0.400010\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 7.59579 | 0.279795 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.5693 | 0.462371 | 0.231185 | − | 0.972910i | \(-0.425740\pi\) | ||||
0.231185 | + | 0.972910i | \(0.425740\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.57904 | + | 4.16081i | 0.131479 | + | 0.152851i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 22.2877i | − | 0.817655i | −0.912612 | − | 0.408827i | \(-0.865938\pi\) | ||
0.912612 | − | 0.408827i | \(-0.134062\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −5.18390 | + | 34.2885i | −0.189669 | + | 1.25455i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −16.4674 | −0.601707 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 35.1279i | − | 1.28183i | −0.767610 | − | 0.640917i | \(-0.778554\pi\) | ||
0.767610 | − | 0.640917i | \(-0.221446\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 6.33410 | − | 5.44846i | 0.230827 | − | 0.198553i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20.6887 | 0.751945 | 0.375972 | − | 0.926631i | \(-0.377309\pi\) | ||||
0.375972 | + | 0.926631i | \(0.377309\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 4.99754 | + | 5.80988i | 0.181399 | + | 0.210885i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 22.8130i | 0.826971i | 0.910511 | + | 0.413485i | \(0.135689\pi\) | ||||
−0.910511 | + | 0.413485i | \(0.864311\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 2.55539i | − | 0.0925113i | ||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | − | 6.32612i | − | 0.228423i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 46.3082 | 1.66992 | 0.834958 | − | 0.550313i | \(-0.185492\pi\) | ||||
0.834958 | + | 0.550313i | \(0.185492\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −25.8496 | − | 30.0515i | −0.930952 | − | 1.08228i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 30.2684i | 1.08868i | 0.838865 | + | 0.544340i | \(0.183220\pi\) | ||||
−0.838865 | + | 0.544340i | \(0.816780\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −13.3527 | − | 15.5231i | −0.479024 | − | 0.556889i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 18.4528i | 0.661141i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 22.4531i | − | 0.803436i | ||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 35.1279 | − | 22.0393i | 1.25537 | − | 0.787622i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 19.4080i | 0.691819i | 0.938268 | + | 0.345910i | \(0.112430\pi\) | ||||
−0.938268 | + | 0.345910i | \(0.887570\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 17.7960 | − | 15.3078i | 0.633555 | − | 0.544971i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 48.0644 | 1.70897 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.45667i | 0.193772i | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 30.7743i | − | 1.09008i | −0.838409 | − | 0.545041i | \(-0.816514\pi\) | ||
0.838409 | − | 0.545041i | \(-0.183486\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 52.7882i | − | 1.86751i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 12.4947 | + | 1.88901i | 0.441478 | + | 0.0667448i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 8.11867 | 0.286502 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −14.6590 | − | 17.0418i | −0.516021 | − | 0.599900i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 37.5744i | − | 1.32104i | −0.750807 | − | 0.660522i | \(-0.770335\pi\) | ||
0.750807 | − | 0.660522i | \(-0.229665\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 30.3492 | 1.06571 | 0.532853 | − | 0.846208i | \(-0.321120\pi\) | ||||
0.532853 | + | 0.846208i | \(0.321120\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 15.9894i | 0.559397i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 1.14599 | − | 7.58003i | 0.0400440 | − | 0.264868i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 6.97824 | 0.243542 | 0.121771 | − | 0.992558i | \(-0.461143\pi\) | ||||
0.121771 | + | 0.992558i | \(0.461143\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.569147 | 0.0198392 | 0.00991960 | − | 0.999951i | \(-0.496842\pi\) | ||||
0.00991960 | + | 0.999951i | \(0.496842\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 23.0851 | 0.802748 | 0.401374 | − | 0.915914i | \(-0.368533\pi\) | ||||
0.401374 | + | 0.915914i | \(0.368533\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 48.3636i | 1.67974i | 0.542790 | + | 0.839869i | \(0.317368\pi\) | ||||
−0.542790 | + | 0.839869i | \(0.682632\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −18.9662 | − | 22.0491i | −0.657930 | − | 0.764876i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −63.8852 | −2.21349 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 19.5125 | + | 31.1004i | 0.674450 | + | 1.07499i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 22.0393 | 0.760883 | 0.380441 | − | 0.924805i | \(-0.375772\pi\) | ||||
0.380441 | + | 0.924805i | \(0.375772\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 34.6926 | 1.19630 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 14.5050 | − | 12.4769i | 0.499578 | − | 0.429727i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −33.1355 | −1.13855 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 24.5611 | − | 21.1270i | 0.842936 | − | 0.725076i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.55400i | 0.224668i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.39801 | 0.219064 | 0.109532 | − | 0.993983i | \(-0.465065\pi\) | ||||
0.109532 | + | 0.993983i | \(0.465065\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 27.2124 | 0.929559 | 0.464780 | − | 0.885426i | \(-0.346134\pi\) | ||||
0.464780 | + | 0.885426i | \(0.346134\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 23.4663 | 0.800658 | 0.400329 | − | 0.916371i | \(-0.368896\pi\) | ||||
0.400329 | + | 0.916371i | \(0.368896\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 19.5406 | − | 16.8084i | 0.665941 | − | 0.572828i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 12.4724i | 0.424566i | 0.977208 | + | 0.212283i | \(0.0680898\pi\) | ||||
−0.977208 | + | 0.212283i | \(0.931910\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −13.4691 | − | 15.6585i | −0.457434 | − | 0.531790i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 23.1196 | 0.784279 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.43212i | 0.0824093i | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 6.42984 | + | 0.972093i | 0.217617 | + | 0.0329004i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 48.9517 | 1.65298 | 0.826491 | − | 0.562950i | \(-0.190333\pi\) | ||||
0.826491 | + | 0.562950i | \(0.190333\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 38.6652 | − | 33.2590i | 1.30414 | − | 1.12180i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 9.76612i | − | 0.329029i | −0.986375 | − | 0.164514i | \(-0.947394\pi\) | ||
0.986375 | − | 0.164514i | \(-0.0526057\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 37.1170i | − | 1.24909i | −0.780990 | − | 0.624544i | \(-0.785285\pi\) | ||
0.780990 | − | 0.624544i | \(-0.214715\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 20.7792i | 0.697699i | 0.937179 | + | 0.348849i | \(0.113427\pi\) | ||||
−0.937179 | + | 0.348849i | \(0.886573\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −56.2899 | −1.88790 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −4.88681 | + | 15.7923i | −0.163714 | + | 0.529062i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | − | 52.8821i | − | 1.76963i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −1.86029 | + | 1.60018i | −0.0621132 | + | 0.0534285i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 56.3901i | 1.88072i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 35.7766i | 1.19189i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 16.9319 | − | 14.5645i | 0.563459 | − | 0.484675i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 25.5231i | − | 0.847481i | −0.905784 | − | 0.423741i | \(-0.860717\pi\) | ||
0.905784 | − | 0.423741i | \(-0.139283\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 1.41850 | − | 9.38256i | 0.0470487 | − | 0.311200i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −18.6187 | −0.616865 | −0.308433 | − | 0.951246i | \(-0.599804\pi\) | ||||
−0.308433 | + | 0.951246i | \(0.599804\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 21.2322i | − | 0.702683i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 12.9783i | 0.428581i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 27.9743i | 0.922788i | 0.887195 | + | 0.461394i | \(0.152650\pi\) | ||||
−0.887195 | + | 0.461394i | \(0.847350\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 43.6074 | − | 37.5101i | 1.43691 | − | 1.23600i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 7.18934 | 0.236640 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −5.64472 | + | 37.3366i | −0.185397 | + | 1.22629i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 46.7604i | 1.53416i | 0.641551 | + | 0.767080i | \(0.278291\pi\) | ||||
−0.641551 | + | 0.767080i | \(0.721709\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −63.9990 | −2.09748 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 29.1149 | + | 33.8475i | 0.953178 | + | 1.10812i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 41.2253i | − | 1.34677i | −0.739291 | − | 0.673387i | \(-0.764839\pi\) | ||
0.739291 | − | 0.673387i | \(-0.235161\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.6768 | + | 10.9043i | −0.413692 | + | 0.355849i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −0.179836 | −0.00586248 | −0.00293124 | − | 0.999996i | \(-0.500933\pi\) | ||||
−0.00293124 | + | 0.999996i | \(0.500933\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.25021 | −0.268664 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 21.3864 | 0.694965 | 0.347483 | − | 0.937686i | \(-0.387037\pi\) | ||||
0.347483 | + | 0.937686i | \(0.387037\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.59955i | 0.0843849i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −6.32612 | + | 5.44160i | −0.205139 | + | 0.176456i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 11.0306 | 0.357317 | 0.178658 | − | 0.983911i | \(-0.442824\pi\) | ||||
0.178658 | + | 0.983911i | \(0.442824\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −19.2487 | + | 16.5573i | −0.622223 | + | 0.535223i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −24.6280 | −0.795281 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −18.9248 | −0.610478 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −1.69966 | + | 11.2423i | −0.0547709 | + | 0.362278i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.8832 | −0.349980 | −0.174990 | − | 0.984570i | \(-0.555989\pi\) | ||||
−0.174990 | + | 0.984570i | \(0.555989\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −32.7288 | − | 38.0488i | −1.05140 | − | 1.22230i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 2.40482i | 0.0771744i | 0.999255 | + | 0.0385872i | \(0.0122857\pi\) | ||||
−0.999255 | + | 0.0385872i | \(0.987714\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.6912 | 0.374802 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −41.7609 | −1.33605 | −0.668026 | − | 0.744138i | \(-0.732860\pi\) | ||||
−0.668026 | + | 0.744138i | \(0.732860\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −7.73698 | −0.247275 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.74456 | − | 0.263751i | −0.0556995 | − | 0.00842092i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | − | 33.2516i | − | 1.06056i | −0.847822 | − | 0.530281i | \(-0.822086\pi\) | ||
0.847822 | − | 0.530281i | \(-0.177914\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −55.9994 | + | 48.1695i | −1.78248 | + | 1.53325i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −7.14881 | −0.227319 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 33.9434i | 1.07825i | 0.842226 | + | 0.539124i | \(0.181245\pi\) | ||||
−0.842226 | + | 0.539124i | \(0.818755\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −1.55171 | − | 1.80394i | −0.0492420 | − | 0.0572462i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −45.6428 | −1.44552 | −0.722761 | − | 0.691098i | \(-0.757127\pi\) | ||||
−0.722761 | + | 0.691098i | \(0.757127\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −11.9758 | + | 7.51364i | −0.378897 | + | 0.237721i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))