Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1764,4,Mod(361,1764)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1764, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1764.361");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1764 = 2^{2} \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1764.k (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(104.079369250\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{25}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 12) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 1549.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1764.1549 |
Dual form | 1764.4.k.b.361.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1764\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(883\) | \(1081\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −9.00000 | + | 15.5885i | −0.804984 | + | 1.39427i | 0.111317 | + | 0.993785i | \(0.464493\pi\) |
−0.916302 | + | 0.400489i | \(0.868840\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 18.0000 | + | 31.1769i | 0.493382 | + | 0.854563i | 0.999971 | − | 0.00762479i | \(-0.00242707\pi\) |
−0.506589 | + | 0.862188i | \(0.669094\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −10.0000 | −0.213346 | −0.106673 | − | 0.994294i | \(-0.534020\pi\) | ||||
−0.106673 | + | 0.994294i | \(0.534020\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 9.00000 | + | 15.5885i | 0.128401 | + | 0.222397i | 0.923057 | − | 0.384662i | \(-0.125682\pi\) |
−0.794656 | + | 0.607060i | \(0.792349\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 50.0000 | − | 86.6025i | 0.603726 | − | 1.04568i | −0.388526 | − | 0.921438i | \(-0.627016\pi\) |
0.992251 | − | 0.124246i | \(-0.0396511\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 36.0000 | − | 62.3538i | 0.326370 | − | 0.565290i | −0.655418 | − | 0.755266i | \(-0.727508\pi\) |
0.981789 | + | 0.189976i | \(0.0608410\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −99.5000 | − | 172.339i | −0.796000 | − | 1.37871i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 234.000 | 1.49837 | 0.749185 | − | 0.662361i | \(-0.230446\pi\) | ||||
0.749185 | + | 0.662361i | \(0.230446\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.00000 | + | 13.8564i | 0.0463498 | + | 0.0802801i | 0.888270 | − | 0.459323i | \(-0.151908\pi\) |
−0.841920 | + | 0.539603i | \(0.818574\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 113.000 | − | 195.722i | 0.502083 | − | 0.869634i | −0.497914 | − | 0.867227i | \(-0.665900\pi\) |
0.999997 | − | 0.00240737i | \(-0.000766290\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −90.0000 | −0.342820 | −0.171410 | − | 0.985200i | \(-0.554832\pi\) | ||||
−0.171410 | + | 0.985200i | \(0.554832\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 452.000 | 1.60301 | 0.801504 | − | 0.597989i | \(-0.204033\pi\) | ||||
0.801504 | + | 0.597989i | \(0.204033\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 216.000 | − | 374.123i | 0.670358 | − | 1.16109i | −0.307444 | − | 0.951566i | \(-0.599474\pi\) |
0.977803 | − | 0.209528i | \(-0.0671929\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 207.000 | + | 358.535i | 0.536484 | + | 0.929217i | 0.999090 | + | 0.0426532i | \(0.0135811\pi\) |
−0.462606 | + | 0.886564i | \(0.653086\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −648.000 | −1.58866 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −342.000 | − | 592.361i | −0.754654 | − | 1.30710i | −0.945546 | − | 0.325489i | \(-0.894471\pi\) |
0.190892 | − | 0.981611i | \(-0.438862\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −211.000 | + | 365.463i | −0.442882 | + | 0.767094i | −0.997902 | − | 0.0647433i | \(-0.979377\pi\) |
0.555020 | + | 0.831837i | \(0.312710\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 90.0000 | − | 155.885i | 0.171740 | − | 0.297463i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −166.000 | − | 287.520i | −0.302688 | − | 0.524272i | 0.674056 | − | 0.738681i | \(-0.264551\pi\) |
−0.976744 | + | 0.214409i | \(0.931218\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 360.000 | 0.601748 | 0.300874 | − | 0.953664i | \(-0.402722\pi\) | ||||
0.300874 | + | 0.953664i | \(0.402722\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −13.0000 | − | 22.5167i | −0.0208429 | − | 0.0361010i | 0.855416 | − | 0.517942i | \(-0.173302\pi\) |
−0.876259 | + | 0.481841i | \(0.839968\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −256.000 | + | 443.405i | −0.364585 | + | 0.631481i | −0.988710 | − | 0.149845i | \(-0.952123\pi\) |
0.624124 | + | 0.781325i | \(0.285456\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1188.00 | 1.57108 | 0.785542 | − | 0.618809i | \(-0.212384\pi\) | ||||
0.785542 | + | 0.618809i | \(0.212384\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −324.000 | −0.413444 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −315.000 | + | 545.596i | −0.375168 | + | 0.649810i | −0.990352 | − | 0.138574i | \(-0.955748\pi\) |
0.615184 | + | 0.788383i | \(0.289082\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 900.000 | + | 1558.85i | 0.971979 | + | 1.68352i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1054.00 | −1.10327 | −0.551637 | − | 0.834085i | \(-0.685996\pi\) | ||||
−0.551637 | + | 0.834085i | \(0.685996\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 279.000 | + | 483.242i | 0.274867 | + | 0.476083i | 0.970101 | − | 0.242700i | \(-0.0780329\pi\) |
−0.695235 | + | 0.718783i | \(0.744700\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.00000 | + | 6.92820i | −0.00382652 | + | 0.00662773i | −0.867932 | − | 0.496682i | \(-0.834551\pi\) |
0.864106 | + | 0.503310i | \(0.167885\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 882.000 | − | 1527.67i | 0.796880 | − | 1.38024i | −0.124759 | − | 0.992187i | \(-0.539816\pi\) |
0.921639 | − | 0.388049i | \(-0.126851\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −811.000 | − | 1404.69i | −0.712658 | − | 1.23436i | −0.963856 | − | 0.266424i | \(-0.914158\pi\) |
0.251198 | − | 0.967936i | \(-0.419175\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1134.00 | 0.944051 | 0.472025 | − | 0.881585i | \(-0.343523\pi\) | ||||
0.472025 | + | 0.881585i | \(0.343523\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 648.000 | + | 1122.37i | 0.525446 | + | 0.910099i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 17.5000 | − | 30.3109i | 0.0131480 | − | 0.0227730i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1332.00 | 0.953102 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −592.000 | −0.413634 | −0.206817 | − | 0.978380i | \(-0.566310\pi\) | ||||
−0.206817 | + | 0.978380i | \(0.566310\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −954.000 | + | 1652.38i | −0.636270 | + | 1.10205i | 0.349975 | + | 0.936759i | \(0.386190\pi\) |
−0.986245 | + | 0.165293i | \(0.947143\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 477.000 | + | 826.188i | 0.297466 | + | 0.515226i | 0.975556 | − | 0.219753i | \(-0.0705251\pi\) |
−0.678089 | + | 0.734979i | \(0.737192\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2564.00 | 1.56457 | 0.782286 | − | 0.622919i | \(-0.214053\pi\) | ||||
0.782286 | + | 0.622919i | \(0.214053\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −180.000 | − | 311.769i | −0.105261 | − | 0.182318i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2106.00 | + | 3647.70i | −1.20616 | + | 2.08914i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −369.000 | + | 639.127i | −0.202884 | + | 0.351405i | −0.949456 | − | 0.313899i | \(-0.898365\pi\) |
0.746573 | + | 0.665304i | \(0.231698\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1220.00 | + | 2113.10i | 0.657498 | + | 1.13882i | 0.981261 | + | 0.192682i | \(0.0617185\pi\) |
−0.323763 | + | 0.946138i | \(0.604948\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −288.000 | −0.149243 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1277.00 | + | 2211.83i | 0.649145 | + | 1.12435i | 0.983328 | + | 0.181843i | \(0.0582063\pi\) |
−0.334183 | + | 0.942508i | \(0.608460\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 410.000 | − | 710.141i | 0.197016 | − | 0.341242i | −0.750543 | − | 0.660821i | \(-0.770208\pi\) |
0.947560 | + | 0.319579i | \(0.103541\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1944.00 | −0.900786 | −0.450393 | − | 0.892830i | \(-0.648716\pi\) | ||||
−0.450393 | + | 0.892830i | \(0.648716\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2097.00 | −0.954483 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −621.000 | + | 1075.60i | −0.272912 | + | 0.472697i | −0.969606 | − | 0.244671i | \(-0.921320\pi\) |
0.696694 | + | 0.717368i | \(0.254653\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 558.000 | + | 966.484i | 0.232999 | + | 0.403567i | 0.958689 | − | 0.284455i | \(-0.0918127\pi\) |
−0.725690 | + | 0.688022i | \(0.758479\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1070.00 | 0.439406 | 0.219703 | − | 0.975567i | \(-0.429491\pi\) | ||||
0.219703 | + | 0.975567i | \(0.429491\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2034.00 | + | 3522.99i | 0.808339 | + | 1.40008i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −324.000 | + | 561.184i | −0.126702 | + | 0.219454i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −288.000 | + | 498.831i | −0.109104 | + | 0.188974i | −0.915408 | − | 0.402528i | \(-0.868132\pi\) |
0.806303 | + | 0.591502i | \(0.201465\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 671.000 | + | 1162.21i | 0.250257 | + | 0.433458i | 0.963597 | − | 0.267361i | \(-0.0861515\pi\) |
−0.713339 | + | 0.700819i | \(0.752818\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1422.00 | −0.514281 | −0.257140 | − | 0.966374i | \(-0.582780\pi\) | ||||
−0.257140 | + | 0.966374i | \(0.582780\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −436.000 | − | 755.174i | −0.155313 | − | 0.269009i | 0.777860 | − | 0.628437i | \(-0.216305\pi\) |
−0.933173 | + | 0.359428i | \(0.882972\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 810.000 | − | 1402.96i | 0.275965 | − | 0.477986i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 3600.00 | 1.19147 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1340.00 | 0.437201 | 0.218600 | − | 0.975814i | \(-0.429851\pi\) | ||||
0.218600 | + | 0.975814i | \(0.429851\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −4068.00 | + | 7045.98i | −1.29040 | + | 2.23503i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −90.0000 | − | 155.885i | −0.0273939 | − | 0.0474477i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4880.00 | 1.46542 | 0.732711 | − | 0.680540i | \(-0.238255\pi\) | ||||
0.732711 | + | 0.680540i | \(0.238255\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1350.00 | + | 2338.27i | 0.394725 | + | 0.683684i | 0.993066 | − | 0.117557i | \(-0.0375064\pi\) |
−0.598341 | + | 0.801242i | \(0.704173\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −127.000 | + | 219.970i | −0.0366480 | + | 0.0634762i | −0.883768 | − | 0.467926i | \(-0.845001\pi\) |
0.847120 | + | 0.531402i | \(0.178335\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2205.00 | − | 3819.17i | 0.619976 | − | 1.07383i | −0.369514 | − | 0.929225i | \(-0.620476\pi\) |
0.989490 | − | 0.144604i | \(-0.0461909\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3888.00 | + | 6734.21i | 1.07926 | + | 1.86933i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3888.00 | 1.05228 | 0.526138 | − | 0.850399i | \(-0.323640\pi\) | ||||
0.526138 | + | 0.850399i | \(0.323640\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2569.00 | − | 4449.64i | −0.686655 | − | 1.18932i | −0.972914 | − | 0.231169i | \(-0.925745\pi\) |
0.286259 | − | 0.958152i | \(-0.407588\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −500.000 | + | 866.025i | −0.128803 | + | 0.223093i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4788.00 | −1.20405 | −0.602024 | − | 0.798478i | \(-0.705639\pi\) | ||||
−0.602024 | + | 0.798478i | \(0.705639\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2592.00 | 0.644101 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2943.00 | + | 5097.43i | −0.714316 | + | 1.23723i | 0.248906 | + | 0.968528i | \(0.419929\pi\) |
−0.963223 | + | 0.268705i | \(0.913404\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 1116.00 | + | 1932.97i | 0.261656 | + | 0.453201i | 0.966682 | − | 0.255980i | \(-0.0823981\pi\) |
−0.705026 | + | 0.709181i | \(0.749065\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −7452.00 | −1.72744 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −333.000 | − | 576.773i | −0.0754772 | − | 0.130730i | 0.825816 | − | 0.563939i | \(-0.190715\pi\) |
−0.901294 | + | 0.433209i | \(0.857381\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2768.00 | − | 4794.32i | 0.620458 | − | 1.07466i | −0.368943 | − | 0.929452i | \(-0.620280\pi\) |
0.989401 | − | 0.145212i | \(-0.0463865\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3582.00 | − | 6204.21i | 0.785464 | − | 1.36046i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1063.00 | − | 1841.17i | −0.230576 | − | 0.399369i | 0.727402 | − | 0.686212i | \(-0.240728\pi\) |
−0.957978 | + | 0.286843i | \(0.907394\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2934.00 | 0.622875 | 0.311437 | − | 0.950267i | \(-0.399190\pi\) | ||||
0.311437 | + | 0.950267i | \(0.399190\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1018.00 | − | 1763.23i | −0.213830 | − | 0.370364i | 0.739080 | − | 0.673617i | \(-0.235260\pi\) |
−0.952910 | + | 0.303253i | \(0.901927\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2294.50 | − | 3974.19i | 0.467026 | − | 0.808913i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2286.00 | −0.455800 | −0.227900 | − | 0.973684i | \(-0.573186\pi\) | ||||
−0.227900 | + | 0.973684i | \(0.573186\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12312.0 | 2.42994 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −360.000 | + | 623.538i | −0.0696299 | + | 0.120603i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −3798.00 | − | 6578.33i | −0.713026 | − | 1.23500i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1244.00 | 0.231267 | 0.115633 | − | 0.993292i | \(-0.463110\pi\) | ||||
0.115633 | + | 0.993292i | \(0.463110\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 612.000 | + | 1060.02i | 0.111586 | + | 0.193273i | 0.916410 | − | 0.400241i | \(-0.131074\pi\) |
−0.804824 | + | 0.593514i | \(0.797740\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −949.000 | + | 1643.72i | −0.171376 | + | 0.296832i | −0.938901 | − | 0.344187i | \(-0.888155\pi\) |
0.767525 | + | 0.641019i | \(0.221488\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4581.00 | + | 7934.52i | −0.811655 | + | 1.40583i | 0.100050 | + | 0.994982i | \(0.468100\pi\) |
−0.911705 | + | 0.410845i | \(0.865234\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4212.00 | + | 7295.40i | 0.739269 | + | 1.28045i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1800.00 | 0.310076 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 995.000 | + | 1723.39i | 0.169824 | + | 0.294143i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2174.00 | − | 3765.48i | 0.361009 | − | 0.625285i | −0.627119 | − | 0.778924i | \(-0.715766\pi\) |
0.988127 | + | 0.153639i | \(0.0490992\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 5976.00 | 0.974638 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7154.00 | 1.15639 | 0.578195 | − | 0.815899i | \(-0.303757\pi\) | ||||
0.578195 | + | 0.815899i | \(0.303757\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −288.000 | + | 498.831i | −0.0457363 | + | 0.0792176i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −918.000 | − | 1590.02i | −0.142020 | − | 0.245985i | 0.786237 | − | 0.617925i | \(-0.212026\pi\) |
−0.928257 | + | 0.371939i | \(0.878693\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5894.00 | 0.904007 | 0.452004 | − | 0.892016i | \(-0.350709\pi\) | ||||
0.452004 | + | 0.892016i | \(0.350709\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5553.00 | + | 9618.08i | 0.837270 | + | 1.45019i | 0.892169 | + | 0.451703i | \(0.149183\pi\) |
−0.0548984 | + | 0.998492i | \(0.517484\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3240.00 | + | 5611.84i | −0.484398 | + | 0.839002i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 6588.00 | − | 11410.8i | 0.968527 | − | 1.67754i | 0.268704 | − | 0.963223i | \(-0.413405\pi\) |
0.699823 | − | 0.714316i | \(-0.253262\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1570.50 | − | 2720.19i | −0.228969 | − | 0.396586i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 468.000 | 0.0671130 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3056.00 | + | 5293.15i | 0.434665 | + | 0.752861i | 0.997268 | − | 0.0738656i | \(-0.0235336\pi\) |
−0.562604 | + | 0.826727i | \(0.690200\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6809.00 | − | 11793.5i | 0.945192 | − | 1.63712i | 0.189826 | − | 0.981818i | \(-0.439208\pi\) |
0.755366 | − | 0.655303i | \(-0.227459\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2340.00 | −0.319671 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 692.000 | 0.0937880 | 0.0468940 | − | 0.998900i | \(-0.485068\pi\) | ||||
0.0468940 | + | 0.998900i | \(0.485068\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4032.00 | + | 6983.63i | −0.537926 | + | 0.931715i | 0.461090 | + | 0.887353i | \(0.347459\pi\) |
−0.999016 | + | 0.0443613i | \(0.985875\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 6327.00 | + | 10958.7i | 0.824657 | + | 1.42835i | 0.902181 | + | 0.431358i | \(0.141965\pi\) |
−0.0775239 | + | 0.996990i | \(0.524701\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1296.00 | 0.167625 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −4608.00 | − | 7981.29i | −0.586971 | − | 1.01666i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 53.0000 | − | 91.7987i | 0.00670024 | − | 0.0116051i | −0.862656 | − | 0.505791i | \(-0.831201\pi\) |
0.869356 | + | 0.494186i | \(0.164534\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2007.00 | + | 3476.23i | −0.249937 | + | 0.432904i | −0.963508 | − | 0.267679i | \(-0.913743\pi\) |
0.713571 | + | 0.700583i | \(0.247077\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −80.0000 | − | 138.564i | −0.00988855 | − | 0.0171275i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8136.00 | 0.990876 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1957.00 | − | 3389.62i | −0.236595 | − | 0.409795i | 0.723140 | − | 0.690702i | \(-0.242698\pi\) |
−0.959735 | + | 0.280907i | \(0.909365\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10692.0 | + | 18519.1i | −1.26470 | + | 2.19052i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −4428.00 | −0.516282 | −0.258141 | − | 0.966107i | \(-0.583110\pi\) | ||||
−0.258141 | + | 0.966107i | \(0.583110\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15490.0 | −1.79320 | −0.896599 | − | 0.442843i | \(-0.853970\pi\) | ||||
−0.896599 | + | 0.442843i | \(0.853970\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1791.00 | − | 3102.10i | 0.204415 | − | 0.354057i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3384.00 | + | 5861.26i | 0.378194 | + | 0.655051i | 0.990800 | − | 0.135338i | \(-0.0432119\pi\) |
−0.612606 | + | 0.790389i | \(0.709879\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1298.00 | 0.144060 | 0.0720299 | − | 0.997402i | \(-0.477052\pi\) | ||||
0.0720299 | + | 0.997402i | \(0.477052\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3600.00 | − | 6235.38i | −0.394076 | − | 0.682560i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1124.00 | − | 1946.83i | 0.122200 | − | 0.211656i | −0.798435 | − | 0.602081i | \(-0.794339\pi\) |
0.920635 | + | 0.390425i | \(0.127672\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4806.00 | + | 8324.24i | −0.515440 | + | 0.892768i | 0.484399 | + | 0.874847i | \(0.339038\pi\) |
−0.999839 | + | 0.0179214i | \(0.994295\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5670.00 | − | 9820.73i | −0.604008 | − | 1.04617i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −162.000 | −0.0170273 | −0.00851364 | − | 0.999964i | \(-0.502710\pi\) | ||||
−0.00851364 | + | 0.999964i | \(0.502710\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1620.00 | − | 2805.92i | −0.169142 | − | 0.292962i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −685.000 | + | 1186.45i | −0.0701159 | + | 0.121444i | −0.898952 | − | 0.438047i | \(-0.855670\pi\) |
0.828836 | + | 0.559492i | \(0.189004\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 15354.0 | 1.55121 | 0.775604 | − | 0.631220i | \(-0.217445\pi\) | ||||
0.775604 | + | 0.631220i | \(0.217445\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13024.0 | −1.30729 | −0.653646 | − | 0.756800i | \(-0.726762\pi\) | ||||
−0.653646 | + | 0.756800i | \(0.726762\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −7218.00 | + | 12501.9i | −0.715223 | + | 1.23880i | 0.247650 | + | 0.968849i | \(0.420342\pi\) |
−0.962873 | + | 0.269953i | \(0.912992\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 8136.00 | + | 14092.0i | 0.790896 | + | 1.36987i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −19900.0 | −1.92226 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 6048.00 | + | 10475.4i | 0.576911 | + | 0.999238i | 0.995831 | + | 0.0912156i | \(0.0290752\pi\) |
−0.418921 | + | 0.908023i | \(0.637591\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1130.00 | + | 1957.22i | −0.107118 | + | 0.185533i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 9486.00 | − | 16430.2i | 0.888118 | − | 1.53826i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3028.00 | − | 5244.65i | −0.281749 | − | 0.488004i | 0.690067 | − | 0.723746i | \(-0.257581\pi\) |
−0.971816 | + | 0.235742i | \(0.924248\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −7524.00 | −0.691555 | −0.345777 | − | 0.938317i | \(-0.612385\pi\) | ||||
−0.345777 | + | 0.938317i | \(0.612385\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2106.00 | + | 3647.70i | 0.192392 | + | 0.333233i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2638.00 | + | 4569.15i | −0.236660 | + | 0.409906i | −0.959754 | − | 0.280843i | \(-0.909386\pi\) |
0.723094 | + | 0.690749i | \(0.242719\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −4968.00 | −0.440382 | −0.220191 | − | 0.975457i | \(-0.570668\pi\) | ||||
−0.220191 | + | 0.975457i | \(0.570668\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10044.0 | −0.885054 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 5499.00 | − | 9524.55i | 0.478858 | − | 0.829407i | −0.520848 | − | 0.853650i | \(-0.674384\pi\) |
0.999706 | + | 0.0242426i | \(0.00771742\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −72.0000 | − | 124.708i | −0.00616058 | − | 0.0106704i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15552.0 | 1.32297 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −4419.00 | − | 7653.93i | −0.371593 | − | 0.643618i | 0.618218 | − | 0.786007i | \(-0.287855\pi\) |
−0.989811 | + | 0.142389i | \(0.954522\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11218.0 | + | 19430.1i | −0.937914 | + | 1.62451i | −0.168560 | + | 0.985691i | \(0.553912\pi\) |
−0.769354 | + | 0.638823i | \(0.779422\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −144.000 | + | 249.415i | −0.0119027 | + | 0.0206161i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3491.50 | + | 6047.46i | 0.286965 | + | 0.497038i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 900.000 | 0.0731395 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 15876.0 | + | 27498.0i | 1.28295 | + | 2.22214i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2381.00 | − | 4124.01i | 0.189218 | − | 0.327736i | −0.755771 | − | 0.654835i | \(-0.772738\pi\) |
0.944990 | + | 0.327100i | \(0.106071\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 29196.0 | 2.29471 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6004.00 | −0.469310 | −0.234655 | − | 0.972079i | \(-0.575396\pi\) | ||||
−0.234655 | + | 0.972079i | \(0.575396\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 11700.0 | − | 20265.0i | 0.904604 | − | 1.56682i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −2637.00 | − | 4567.42i | −0.200598 | − | 0.347447i | 0.748123 | − | 0.663560i | \(-0.230955\pi\) |
−0.948721 | + | 0.316114i | \(0.897622\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4520.00 | −0.341996 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −6210.00 | − | 10756.0i | −0.464867 | − | 0.805174i | 0.534328 | − | 0.845277i | \(-0.320565\pi\) |
−0.999196 | + | 0.0401033i | \(0.987231\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10206.0 | + | 17677.3i | −0.759946 | + | 1.31627i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −10683.0 | + | 18503.5i | −0.787091 | + | 1.36328i | 0.140651 | + | 0.990059i | \(0.455080\pi\) |
−0.927742 | + | 0.373222i | \(0.878253\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10570.0 | − | 18307.8i | −0.774677 | − | 1.34178i | −0.934976 | − | 0.354712i | \(-0.884579\pi\) |
0.160298 | − | 0.987069i | \(-0.448754\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −14328.0 | −1.03916 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1633.00 | − | 2828.44i | −0.117821 | − | 0.204072i | 0.801083 | − | 0.598553i | \(-0.204258\pi\) |
−0.918904 | + | 0.394482i | \(0.870924\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7452.00 | + | 12907.2i | −0.529383 | + | 0.916918i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −17028.0 | −1.19731 | −0.598655 | − | 0.801007i | \(-0.704298\pi\) | ||||
−0.598655 | + | 0.801007i | \(0.704298\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1600.00 | 0.111930 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 4761.00 | − | 8246.29i | 0.329698 | − | 0.571053i | −0.652754 | − | 0.757570i | \(-0.726386\pi\) |
0.982452 | + | 0.186517i | \(0.0597198\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −5148.00 | − | 8916.60i | −0.351155 | − | 0.608218i | 0.635297 | − | 0.772268i | \(-0.280877\pi\) |
−0.986452 | + | 0.164050i | \(0.947544\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3382.00 | −0.229542 | −0.114771 | − | 0.993392i | \(-0.536613\pi\) | ||||
−0.114771 | + | 0.993392i | \(0.536613\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 315.000 | + | 545.596i | 0.0211679 | + | 0.0366639i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10328.0 | − | 17888.6i | 0.690611 | − | 1.19617i | −0.281028 | − | 0.959700i | \(-0.590675\pi\) |
0.971638 | − | 0.236473i | \(-0.0759914\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2160.00 | + | 3741.23i | −0.143018 | + | 0.247715i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 11057.0 | + | 19151.3i | 0.728529 | + | 1.26185i | 0.957505 | + | 0.288417i | \(0.0931288\pi\) |
−0.228976 | + | 0.973432i | \(0.573538\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −19962.0 | −1.30250 | −0.651248 | − | 0.758865i | \(-0.725754\pi\) | ||||
−0.651248 | + | 0.758865i | \(0.725754\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 302.000 | + | 523.079i | 0.0196097 | + | 0.0339650i | 0.875664 | − | 0.482921i | \(-0.160424\pi\) |
−0.856054 | + | 0.516886i | \(0.827091\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 449.500 | − | 778.557i | 0.0287680 | − | 0.0498276i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4068.00 | 0.257872 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 152.000 | 0.00958958 | 0.00479479 | − | 0.999989i | \(-0.498474\pi\) | ||||
0.00479479 | + | 0.999989i | \(0.498474\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 5328.00 | − | 9228.37i | 0.332969 | − | 0.576719i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2097.00 | + | 3632.11i | 0.129215 | + | 0.223806i | 0.923372 | − | 0.383905i | \(-0.125421\pi\) |
−0.794158 | + | 0.607711i | \(0.792088\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7252.00 | −0.444776 | −0.222388 | − | 0.974958i | \(-0.571385\pi\) | ||||
−0.222388 | + | 0.974958i | \(0.571385\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −3348.00 | − | 5798.91i | −0.203437 | − | 0.352362i | 0.746197 | − | 0.665725i | \(-0.231878\pi\) |
−0.949633 | + | 0.313363i | \(0.898544\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 12312.0 | − | 21325.0i | 0.744666 | − | 1.28980i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 14211.0 | − | 24614.2i | 0.851638 | − | 1.47508i | −0.0280919 | − | 0.999605i | \(-0.508943\pi\) |
0.879730 | − | 0.475474i | \(-0.157724\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −17172.0 | − | 29742.8i | −1.02437 | − | 1.77427i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 19908.0 | 1.17679 | 0.588396 | − | 0.808573i | \(-0.299760\pi\) | ||||
0.588396 | + | 0.808573i | \(0.299760\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7159.00 | − | 12399.8i | −0.421260 | − | 0.729644i | 0.574803 | − | 0.818292i | \(-0.305079\pi\) |
−0.996063 | + | 0.0886482i | \(0.971745\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 8424.00 | − | 14590.8i | 0.489023 | − | 0.847013i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −15192.0 | −0.874040 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 30050.0 | 1.72116 | 0.860581 | − | 0.509313i | \(-0.170101\pi\) | ||||
0.860581 | + | 0.509313i | \(0.170101\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 11079.0 | − | 19189.4i | 0.628952 | − | 1.08938i | −0.358810 | − | 0.933411i | \(-0.616817\pi\) |
0.987762 | − | 0.155966i | \(-0.0498492\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −1566.00 | − | 2712.39i | −0.0877325 | − | 0.151957i | 0.818820 | − | 0.574051i | \(-0.194629\pi\) |
−0.906552 | + | 0.422093i | \(0.861295\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −17172.0 | −0.957822 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2070.00 | − | 3585.35i | −0.114457 | − | 0.198245i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10466.0 | − | 18127.6i | 0.576187 | − | 0.997986i | −0.419724 | − | 0.907652i | \(-0.637873\pi\) |
0.995912 | − | 0.0903340i | \(-0.0287934\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −23076.0 | + | 39968.8i | −1.25946 | + | 2.18144i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −810.000 | − | 1402.96i | −0.0440186 | − | 0.0762424i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 21834.0 | 1.17640 | 0.588202 | − | 0.808714i | \(-0.299836\pi\) | ||||
0.588202 | + | 0.808714i | \(0.299836\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −11300.0 | − | 19572.2i | −0.606241 | − | 1.05004i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6223.00 | + | 10778.6i | −0.329633 | + | 0.570941i | −0.982439 | − | 0.186584i | \(-0.940258\pi\) |
0.652806 | + | 0.757525i | \(0.273592\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1152.00 | 0.0605088 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6480.00 | 0.338935 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −6264.00 | + | 10849.6i | −0.324907 | + | 0.562755i | −0.981493 | − | 0.191496i | \(-0.938666\pi\) |
0.656587 | + | 0.754250i | \(0.272000\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −23283.0 | − | 40327.3i | −1.19270 | − | 2.06582i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 11576.0 | 0.590550 | 0.295275 | − | 0.955412i | \(-0.404589\pi\) | ||||
0.295275 | + | 0.955412i | \(0.404589\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4068.00 | + | 7045.98i | 0.205828 | + | 0.356505i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14669.0 | − | 25407.5i | 0.739170 | − | 1.28028i | −0.213699 | − | 0.976900i | \(-0.568551\pi\) |
0.952869 | − | 0.303381i | \(-0.0981155\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5976.00 | − | 10350.7i | 0.298682 | − | 0.517333i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1270.00 | − | 2199.70i | −0.0632175 | − | 0.109496i | 0.832684 | − | 0.553748i | \(-0.186803\pi\) |
−0.895902 | + | 0.444252i | \(0.853470\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 18792.0 | 0.927876 | 0.463938 | − | 0.885868i | \(-0.346436\pi\) | ||||
0.463938 | + | 0.885868i | \(0.346436\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6642.00 | − | 11504.3i | −0.326636 | − | 0.565751i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2416.00 | + | 4184.63i | −0.117392 | + | 0.203328i | −0.918733 | − | 0.394879i | \(-0.870787\pi\) |
0.801342 | + | 0.598207i | \(0.204120\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −43920.0 | −2.11710 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20818.0 | −0.999529 | −0.499764 | − | 0.866161i | \(-0.666580\pi\) | ||||
−0.499764 | + | 0.866161i | \(0.666580\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 6021.00 | − | 10428.7i | 0.286808 | − | 0.496766i | −0.686238 | − | 0.727377i | \(-0.740739\pi\) |
0.973046 | + | 0.230611i | \(0.0740724\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 3420.00 | + | 5923.61i | 0.161003 | + | 0.278865i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13058.0 | 0.612332 | 0.306166 | − | 0.951978i | \(-0.400954\pi\) | ||||
0.306166 | + | 0.951978i | \(0.400954\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −5913.00 | − | 10241.6i | −0.275130 | − | 0.476540i | 0.695038 | − | 0.718973i | \(-0.255388\pi\) |
−0.970168 | + | 0.242434i | \(0.922054\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1592.00 | − | 2757.42i | 0.0737888 | − | 0.127806i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −4500.00 | + | 7794.23i | −0.206969 | + | 0.358482i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6480.00 | + | 11223.7i | 0.296892 | + | 0.514232i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −45972.0 | −2.09021 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5998.00 | − | 10388.8i | −0.271672 | − | 0.470549i | 0.697618 | − | 0.716470i | \(-0.254243\pi\) |
−0.969290 | + | 0.245920i | \(0.920910\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2110.00 | − | 3654.63i | 0.0944871 | − | 0.163657i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −6966.00 | −0.309596 | −0.154798 | − | 0.987946i | \(-0.549473\pi\) | ||||
−0.154798 | + | 0.987946i | \(0.549473\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7776.00 | 0.344299 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 468.000 | − | 810.600i | 0.0205671 | − | 0.0356232i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −20403.0 | − | 35339.0i | −0.886689 | − | 1.53579i | −0.843766 | − | 0.536712i | \(-0.819666\pi\) |
−0.0429232 | − | 0.999078i | \(-0.513667\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −17980.0 | −0.778500 | −0.389250 | − | 0.921132i | \(-0.627266\pi\) | ||||
−0.389250 | + | 0.921132i | \(0.627266\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 7380.00 | + | 12782.5i | 0.317190 | + | 0.549390i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 22600.0 | − | 39144.3i | 0.967777 | − | 1.67624i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −6417.00 | + | 11114.6i | −0.272783 | + | 0.472474i | −0.969573 | − | 0.244801i | \(-0.921277\pi\) |
0.696790 | + | 0.717275i | \(0.254611\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 18932.0 | + | 32791.2i | 0.801857 | + | 1.38886i | 0.918393 | + | 0.395670i | \(0.129488\pi\) |
−0.116536 | + | 0.993186i | \(0.537179\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −42516.0 | −1.78770 | −0.893849 | − | 0.448368i | \(-0.852005\pi\) | ||||
−0.893849 | + | 0.448368i | \(0.852005\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −22819.0 | − | 39523.7i | −0.956015 | − | 1.65587i | −0.732028 | − | 0.681275i | \(-0.761426\pi\) |
−0.223988 | − | 0.974592i | \(-0.571908\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 17496.0 | − | 30304.0i | 0.725119 | − | 1.25594i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −17496.0 | −0.719939 | −0.359970 | − | 0.932964i | \(-0.617213\pi\) | ||||
−0.359970 | + | 0.932964i | \(0.617213\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 30367.0 | 1.24511 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 18873.0 | − | 32689.0i | 0.768344 | − | 1.33081i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −8136.00 | − | 14092.0i | −0.327730 | − | 0.567646i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 32174.0 | 1.29146 | 0.645731 | − | 0.763565i | \(-0.276553\pi\) | ||||
0.645731 | + | 0.763565i | \(0.276553\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −19467.0 | − | 33717.8i | −0.775939 | − | 1.34397i | −0.934265 | − | 0.356579i | \(-0.883943\pi\) |
0.158326 | − | 0.987387i | \(-0.449390\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14890.0 | + | 25790.2i | −0.591432 | + | 1.02439i | 0.402608 | + | 0.915373i | \(0.368104\pi\) |
−0.994040 | + | 0.109018i | \(0.965229\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −24048.0 | + | 41652.4i | −0.948556 | + | 1.64295i | −0.200085 | + | 0.979779i | \(0.564122\pi\) |
−0.748471 | + | 0.663168i | \(0.769212\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11178.0 | − | 19360.9i | −0.439380 | − | 0.761028i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −18432.0 | −0.719520 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1660.00 | + | 2875.20i | 0.0645774 | + | 0.111851i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10651.0 | + | 18448.1i | −0.410101 | + | 0.710316i | −0.994900 | − | 0.100862i | \(-0.967840\pi\) |
0.584799 | + | 0.811178i | \(0.301173\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 7470.00 | 0.285665 | 0.142832 | − | 0.989747i | \(-0.454379\pi\) | ||||
0.142832 | + | 0.989747i | \(0.454379\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 764.000 | 0.0291174 | 0.0145587 | − | 0.999894i | \(-0.495366\pi\) | ||||
0.0145587 | + | 0.999894i | \(0.495366\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 16164.0 | − | 27996.9i | 0.611876 | − | 1.05980i | −0.379048 | − | 0.925377i | \(-0.623748\pi\) |
0.990924 | − | 0.134423i | \(-0.0429182\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −21600.0 | − | 37412.3i | −0.809425 | − | 1.40197i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −20088.0 | −0.750243 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1872.00 | + | 3242.40i | 0.0694490 | + | 0.120289i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3726.00 | + | 6453.62i | −0.137770 | + | 0.238625i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −9630.00 | + | 16679.6i | −0.353715 | + | 0.612652i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 18158.0 | + | 31450.6i | 0.664748 | + | 1.15138i | 0.979354 | + | 0.202155i | \(0.0647944\pi\) |
−0.314605 | + | 0.949223i | \(0.601872\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 13392.0 | 0.487044 | 0.243522 | − | 0.969895i | \(-0.421697\pi\) | ||||
0.243522 | + | 0.969895i | \(0.421697\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 21384.0 | + | 37038.2i | 0.775145 | + | 1.34259i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −19036.0 | + | 32971.3i | −0.683286 | + | 1.18349i | 0.290686 | + | 0.956818i | \(0.406116\pi\) |
−0.973972 | + | 0.226667i | \(0.927217\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −3600.00 | −0.128381 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −44974.0 | −1.59863 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −6399.00 | + | 11083.4i | −0.225990 | + | 0.391426i | −0.956616 | − | 0.291352i | \(-0.905895\pi\) |
0.730626 | + | 0.682778i | \(0.239228\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −5832.00 | − | 10101.3i | −0.203986 | − | 0.353314i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 34874.0 | 1.21588 | 0.607942 | − | 0.793981i | \(-0.291995\pi\) | ||||
0.607942 | + | 0.793981i | \(0.291995\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 8595.00 | + | 14887.0i | 0.297757 | + | 0.515730i | 0.975622 | − | 0.219456i | \(-0.0704283\pi\) |
−0.677866 | + | 0.735186i | \(0.737095\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3240.00 | + | 5611.84i | −0.111886 | + | 0.193793i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 20142.0 | − | 34887.0i | 0.691158 | − | 1.19712i | −0.280300 | − | 0.959912i | \(-0.590434\pi\) |
0.971459 | − | 0.237209i | \(-0.0762327\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 130.000 | + | 225.167i | 0.00444676 | + | 0.00770202i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −15498.0 | −0.526789 | −0.263394 | − | 0.964688i | \(-0.584842\pi\) | ||||
−0.263394 | + | 0.964688i | \(0.584842\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −5184.00 | − | 8978.95i | −0.175655 | − | 0.304243i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14767.5 | − | 25578.1i | 0.495703 | − | 0.858583i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −24156.0 | −0.805813 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 37160.0 | 1.23577 | 0.617883 | − | 0.786270i | \(-0.287991\pi\) | ||||
0.617883 | + | 0.786270i | \(0.287991\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 9234.00 | − | 15993.8i | 0.305183 | − | 0.528593i | −0.672119 | − | 0.740443i | \(-0.734616\pi\) |
0.977302 | + | 0.211850i | \(0.0679489\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 5193.00 | + | 8994.54i | 0.170050 | + | 0.294535i | 0.938437 | − | 0.345450i | \(-0.112274\pi\) |
−0.768387 | + | 0.639985i | \(0.778940\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −22680.0 | −0.740404 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 22068.0 | + | 38222.9i | 0.716032 | + | 1.24020i | 0.962560 | + | 0.271069i | \(0.0873771\pi\) |
−0.246528 | + | 0.969136i | \(0.579290\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 12798.0 | − | 22166.8i | 0.413988 | − | 0.717048i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 16272.0 | − | 28183.9i | 0.523174 | − | 0.906165i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 14216.0 | + | 24622.8i | 0.455687 | + | 0.789274i | 0.998727 | − | 0.0504332i | \(-0.0160602\pi\) |
−0.543040 | + | 0.839707i | \(0.682727\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 15696.0 | 0.500097 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 19889.0 | + | 34448.8i | 0.631786 | + | 1.09429i | 0.987186 | + | 0.159572i | \(0.0510113\pi\) |
−0.355400 | + | 0.934714i | \(0.615655\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))