Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,4,Mod(1,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.1");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.a (trivial) |
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: | yes |
Analytic conductor: | \(17.7005730017\) |
Analytic rank: | \(1\) |
Dimension: | \(1\) |
Coefficient field: | \(\mathbb{Q}\) |
Coefficient ring: | \(\mathbb{Z}\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 12) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Character | \(\chi\) | \(=\) | 300.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 | ||||||||
\(3\) | −3.00000 | −0.577350 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −8.00000 | −0.431959 | −0.215980 | − | 0.976398i | \(-0.569295\pi\) | ||||
−0.215980 | + | 0.976398i | \(0.569295\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 9.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 36.0000 | 0.986764 | 0.493382 | − | 0.869813i | \(-0.335760\pi\) | ||||
0.493382 | + | 0.869813i | \(0.335760\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 10.0000 | 0.213346 | 0.106673 | − | 0.994294i | \(-0.465980\pi\) | ||||
0.106673 | + | 0.994294i | \(0.465980\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −18.0000 | −0.256802 | −0.128401 | − | 0.991722i | \(-0.540985\pi\) | ||||
−0.128401 | + | 0.991722i | \(0.540985\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −100.000 | −1.20745 | −0.603726 | − | 0.797192i | \(-0.706318\pi\) | ||||
−0.603726 | + | 0.797192i | \(0.706318\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 24.0000 | 0.249392 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −72.0000 | −0.652741 | −0.326370 | − | 0.945242i | \(-0.605826\pi\) | ||||
−0.326370 | + | 0.945242i | \(0.605826\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −27.0000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −234.000 | −1.49837 | −0.749185 | − | 0.662361i | \(-0.769554\pi\) | ||||
−0.749185 | + | 0.662361i | \(0.769554\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −16.0000 | −0.0926995 | −0.0463498 | − | 0.998925i | \(-0.514759\pi\) | ||||
−0.0463498 | + | 0.998925i | \(0.514759\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −108.000 | −0.569709 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 226.000 | 1.00417 | 0.502083 | − | 0.864819i | \(-0.332567\pi\) | ||||
0.502083 | + | 0.864819i | \(0.332567\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −30.0000 | −0.123176 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 90.0000 | 0.342820 | 0.171410 | − | 0.985200i | \(-0.445168\pi\) | ||||
0.171410 | + | 0.985200i | \(0.445168\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −452.000 | −1.60301 | −0.801504 | − | 0.597989i | \(-0.795967\pi\) | ||||
−0.801504 | + | 0.597989i | \(0.795967\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −432.000 | −1.34072 | −0.670358 | − | 0.742038i | \(-0.733860\pi\) | ||||
−0.670358 | + | 0.742038i | \(0.733860\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −279.000 | −0.813411 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 54.0000 | 0.148265 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −414.000 | −1.07297 | −0.536484 | − | 0.843911i | \(-0.680248\pi\) | ||||
−0.536484 | + | 0.843911i | \(0.680248\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 300.000 | 0.697122 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −684.000 | −1.50931 | −0.754654 | − | 0.656123i | \(-0.772195\pi\) | ||||
−0.754654 | + | 0.656123i | \(0.772195\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 422.000 | 0.885763 | 0.442882 | − | 0.896580i | \(-0.353956\pi\) | ||||
0.442882 | + | 0.896580i | \(0.353956\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −72.0000 | −0.143986 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −332.000 | −0.605377 | −0.302688 | − | 0.953090i | \(-0.597884\pi\) | ||||
−0.302688 | + | 0.953090i | \(0.597884\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 216.000 | 0.376860 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −360.000 | −0.601748 | −0.300874 | − | 0.953664i | \(-0.597278\pi\) | ||||
−0.300874 | + | 0.953664i | \(0.597278\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −26.0000 | −0.0416859 | −0.0208429 | − | 0.999783i | \(-0.506635\pi\) | ||||
−0.0208429 | + | 0.999783i | \(0.506635\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −288.000 | −0.426242 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 512.000 | 0.729171 | 0.364585 | − | 0.931170i | \(-0.381211\pi\) | ||||
0.364585 | + | 0.931170i | \(0.381211\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 81.0000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1188.00 | 1.57108 | 0.785542 | − | 0.618809i | \(-0.212384\pi\) | ||||
0.785542 | + | 0.618809i | \(0.212384\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 702.000 | 0.865084 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −630.000 | −0.750336 | −0.375168 | − | 0.926957i | \(-0.622415\pi\) | ||||
−0.375168 | + | 0.926957i | \(0.622415\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −80.0000 | −0.0921569 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 48.0000 | 0.0535201 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1054.00 | 1.10327 | 0.551637 | − | 0.834085i | \(-0.314004\pi\) | ||||
0.551637 | + | 0.834085i | \(0.314004\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 324.000 | 0.328921 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 558.000 | 0.549733 | 0.274867 | − | 0.961482i | \(-0.411366\pi\) | ||||
0.274867 | + | 0.961482i | \(0.411366\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.00000 | −0.00765304 | −0.00382652 | − | 0.999993i | \(-0.501218\pi\) | ||||
−0.00382652 | + | 0.999993i | \(0.501218\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1764.00 | −1.59376 | −0.796880 | − | 0.604138i | \(-0.793518\pi\) | ||||
−0.796880 | + | 0.604138i | \(0.793518\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1622.00 | 1.42532 | 0.712658 | − | 0.701512i | \(-0.247491\pi\) | ||||
0.712658 | + | 0.701512i | \(0.247491\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −678.000 | −0.579756 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1134.00 | 0.944051 | 0.472025 | − | 0.881585i | \(-0.343523\pi\) | ||||
0.472025 | + | 0.881585i | \(0.343523\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 90.0000 | 0.0711154 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 144.000 | 0.110928 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −35.0000 | −0.0262960 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −270.000 | −0.197927 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 592.000 | 0.413634 | 0.206817 | − | 0.978380i | \(-0.433690\pi\) | ||||
0.206817 | + | 0.978380i | \(0.433690\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1356.00 | 0.925497 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1908.00 | −1.27254 | −0.636270 | − | 0.771466i | \(-0.719524\pi\) | ||||
−0.636270 | + | 0.771466i | \(0.719524\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 800.000 | 0.521570 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −954.000 | −0.594932 | −0.297466 | − | 0.954732i | \(-0.596142\pi\) | ||||
−0.297466 | + | 0.954732i | \(0.596142\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2564.00 | 1.56457 | 0.782286 | − | 0.622919i | \(-0.214053\pi\) | ||||
0.782286 | + | 0.622919i | \(0.214053\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1296.00 | 0.774063 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 360.000 | 0.210522 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 837.000 | 0.469623 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −738.000 | −0.405767 | −0.202884 | − | 0.979203i | \(-0.565031\pi\) | ||||
−0.202884 | + | 0.979203i | \(0.565031\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2440.00 | −1.31500 | −0.657498 | − | 0.753456i | \(-0.728385\pi\) | ||||
−0.657498 | + | 0.753456i | \(0.728385\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −162.000 | −0.0856008 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2554.00 | 1.29829 | 0.649145 | − | 0.760665i | \(-0.275127\pi\) | ||||
0.649145 | + | 0.760665i | \(0.275127\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1242.00 | 0.619478 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 576.000 | 0.281958 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 820.000 | 0.394033 | 0.197016 | − | 0.980400i | \(-0.436875\pi\) | ||||
0.197016 | + | 0.980400i | \(0.436875\pi\) | |||||||
\(164\) | 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 | ||||||||
\(171\) | −900.000 | −0.402484 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1242.00 | 0.545824 | 0.272912 | − | 0.962039i | \(-0.412013\pi\) | ||||
0.272912 | + | 0.962039i | \(0.412013\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 2052.00 | 0.871400 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1116.00 | 0.465999 | 0.232999 | − | 0.972477i | \(-0.425146\pi\) | ||||
0.232999 | + | 0.972477i | \(0.425146\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1070.00 | 0.439406 | 0.219703 | − | 0.975567i | \(-0.429491\pi\) | ||||
0.219703 | + | 0.975567i | \(0.429491\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1266.00 | −0.511396 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −648.000 | −0.253403 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 216.000 | 0.0831306 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −576.000 | −0.218209 | −0.109104 | − | 0.994030i | \(-0.534798\pi\) | ||||
−0.109104 | + | 0.994030i | \(0.534798\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1342.00 | 0.500514 | 0.250257 | − | 0.968179i | \(-0.419485\pi\) | ||||
0.250257 | + | 0.968179i | \(0.419485\pi\) | |||||||
\(194\) | 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 | ||||||||
\(199\) | 872.000 | 0.310625 | 0.155313 | − | 0.987865i | \(-0.450361\pi\) | ||||
0.155313 | + | 0.987865i | \(0.450361\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 996.000 | 0.349515 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1872.00 | 0.647235 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −648.000 | −0.217580 | ||||||||
\(208\) | 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 | ||||||||
\(213\) | 1080.00 | 0.347420 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 128.000 | 0.0400424 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 78.0000 | 0.0240674 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −180.000 | −0.0547878 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4880.00 | −1.46542 | −0.732711 | − | 0.680540i | \(-0.761745\pi\) | ||||
−0.732711 | + | 0.680540i | \(0.761745\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2700.00 | −0.789451 | −0.394725 | − | 0.918799i | \(-0.629160\pi\) | ||||
−0.394725 | + | 0.918799i | \(0.629160\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 254.000 | 0.0732960 | 0.0366480 | − | 0.999328i | \(-0.488332\pi\) | ||||
0.0366480 | + | 0.999328i | \(0.488332\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 864.000 | 0.246091 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −4410.00 | −1.23995 | −0.619976 | − | 0.784621i | \(-0.712858\pi\) | ||||
−0.619976 | + | 0.784621i | \(0.712858\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1536.00 | −0.420987 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −3888.00 | −1.05228 | −0.526138 | − | 0.850399i | \(-0.676360\pi\) | ||||
−0.526138 | + | 0.850399i | \(0.676360\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5138.00 | 1.37331 | 0.686655 | − | 0.726984i | \(-0.259078\pi\) | ||||
0.686655 | + | 0.726984i | \(0.259078\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −243.000 | −0.0641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1000.00 | −0.257605 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3564.00 | −0.907066 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4788.00 | 1.20405 | 0.602024 | − | 0.798478i | \(-0.294361\pi\) | ||||
0.602024 | + | 0.798478i | \(0.294361\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2592.00 | −0.644101 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 5886.00 | 1.42863 | 0.714316 | − | 0.699823i | \(-0.246738\pi\) | ||||
0.714316 | + | 0.699823i | \(0.246738\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1808.00 | −0.433759 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2106.00 | −0.499456 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2232.00 | −0.523312 | −0.261656 | − | 0.965161i | \(-0.584269\pi\) | ||||
−0.261656 | + | 0.965161i | \(0.584269\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1890.00 | 0.433206 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −666.000 | −0.150954 | −0.0754772 | − | 0.997148i | \(-0.524048\pi\) | ||||
−0.0754772 | + | 0.997148i | \(0.524048\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5536.00 | −1.24092 | −0.620458 | − | 0.784240i | \(-0.713053\pi\) | ||||
−0.620458 | + | 0.784240i | \(0.713053\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 240.000 | 0.0532068 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2126.00 | −0.461151 | −0.230576 | − | 0.973054i | \(-0.574061\pi\) | ||||
−0.230576 | + | 0.973054i | \(0.574061\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −144.000 | −0.0308998 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2934.00 | −0.622875 | −0.311437 | − | 0.950267i | \(-0.600810\pi\) | ||||
−0.311437 | + | 0.950267i | \(0.600810\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2036.00 | −0.427659 | −0.213830 | − | 0.976871i | \(-0.568594\pi\) | ||||
−0.213830 | + | 0.976871i | \(0.568594\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −720.000 | −0.148085 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4589.00 | −0.934053 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3162.00 | −0.636975 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2286.00 | −0.455800 | −0.227900 | − | 0.973684i | \(-0.573186\pi\) | ||||
−0.227900 | + | 0.973684i | \(0.573186\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −972.000 | −0.189903 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −720.000 | −0.139260 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3616.00 | 0.692434 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1674.00 | −0.317389 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1244.00 | −0.231267 | −0.115633 | − | 0.993292i | \(-0.536890\pi\) | ||||
−0.115633 | + | 0.993292i | \(0.536890\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 24.0000 | 0.00441849 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1224.00 | 0.223173 | 0.111586 | − | 0.993755i | \(-0.464407\pi\) | ||||
0.111586 | + | 0.993755i | \(0.464407\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1898.00 | −0.342752 | −0.171376 | − | 0.985206i | \(-0.554821\pi\) | ||||
−0.171376 | + | 0.985206i | \(0.554821\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 9162.00 | 1.62331 | 0.811655 | − | 0.584137i | \(-0.198567\pi\) | ||||
0.811655 | + | 0.584137i | \(0.198567\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −8424.00 | −1.47854 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5292.00 | 0.920158 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1800.00 | 0.310076 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −4866.00 | −0.822906 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3456.00 | 0.579135 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4348.00 | −0.722017 | −0.361009 | − | 0.932562i | \(-0.617568\pi\) | ||||
−0.361009 | + | 0.932562i | \(0.617568\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 2034.00 | 0.334722 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7154.00 | −1.15639 | −0.578195 | − | 0.815899i | \(-0.696243\pi\) | ||||
−0.578195 | + | 0.815899i | \(0.696243\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −3402.00 | −0.545048 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −576.000 | −0.0914726 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 4976.00 | 0.783320 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1836.00 | 0.284039 | 0.142020 | − | 0.989864i | \(-0.454640\pi\) | ||||
0.142020 | + | 0.989864i | \(0.454640\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5894.00 | 0.904007 | 0.452004 | − | 0.892016i | \(-0.350709\pi\) | ||||
0.452004 | + | 0.892016i | \(0.350709\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −270.000 | −0.0410585 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −11106.0 | −1.67454 | −0.837270 | − | 0.546789i | \(-0.815850\pi\) | ||||
−0.837270 | + | 0.546789i | \(0.815850\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −432.000 | −0.0640444 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 13176.0 | 1.93705 | 0.968527 | − | 0.248907i | \(-0.0800713\pi\) | ||||
0.968527 | + | 0.248907i | \(0.0800713\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3141.00 | 0.457938 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 105.000 | 0.0151820 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6112.00 | 0.869329 | 0.434665 | − | 0.900592i | \(-0.356867\pi\) | ||||
0.434665 | + | 0.900592i | \(0.356867\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 810.000 | 0.114273 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3312.00 | 0.463478 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13618.0 | 1.89038 | 0.945192 | − | 0.326515i | \(-0.105874\pi\) | ||||
0.945192 | + | 0.326515i | \(0.105874\pi\) | |||||||
\(374\) | 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 | ||||||||
\(381\) | −1776.00 | −0.238812 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 8064.00 | 1.07585 | 0.537926 | − | 0.842992i | \(-0.319208\pi\) | ||||
0.537926 | + | 0.842992i | \(0.319208\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −4068.00 | −0.534336 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 12654.0 | 1.64931 | 0.824657 | − | 0.565633i | \(-0.191368\pi\) | ||||
0.824657 | + | 0.565633i | \(0.191368\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1296.00 | 0.167625 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5724.00 | 0.734701 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 106.000 | 0.0134005 | 0.00670024 | − | 0.999978i | \(-0.497867\pi\) | ||||
0.00670024 | + | 0.999978i | \(0.497867\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −2400.00 | −0.301129 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4014.00 | −0.499874 | −0.249937 | − | 0.968262i | \(-0.580410\pi\) | ||||
−0.249937 | + | 0.968262i | \(0.580410\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −160.000 | −0.0197771 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8136.00 | 0.990876 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3914.00 | 0.473190 | 0.236595 | − | 0.971608i | \(-0.423968\pi\) | ||||
0.236595 | + | 0.971608i | \(0.423968\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 2862.00 | 0.343484 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 5472.00 | 0.651960 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −7692.00 | −0.903307 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 4428.00 | 0.516282 | 0.258141 | − | 0.966107i | \(-0.416890\pi\) | ||||
0.258141 | + | 0.966107i | \(0.416890\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15490.0 | −1.79320 | −0.896599 | − | 0.442843i | \(-0.853970\pi\) | ||||
−0.896599 | + | 0.442843i | \(0.853970\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −3888.00 | −0.446906 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3376.00 | −0.382614 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1080.00 | −0.121545 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 6768.00 | 0.756388 | 0.378194 | − | 0.925726i | \(-0.376545\pi\) | ||||
0.378194 | + | 0.925726i | \(0.376545\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1298.00 | −0.144060 | −0.0720299 | − | 0.997402i | \(-0.522948\pi\) | ||||
−0.0720299 | + | 0.997402i | \(0.522948\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 7200.00 | 0.788153 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2248.00 | −0.244399 | −0.122200 | − | 0.992506i | \(-0.538995\pi\) | ||||
−0.122200 | + | 0.992506i | \(0.538995\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2511.00 | −0.271137 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 9612.00 | 1.03088 | 0.515440 | − | 0.856926i | \(-0.327628\pi\) | ||||
0.515440 | + | 0.856926i | \(0.327628\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2214.00 | 0.234270 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 162.000 | 0.0170273 | 0.00851364 | − | 0.999964i | \(-0.497290\pi\) | ||||
0.00851364 | + | 0.999964i | \(0.497290\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3240.00 | 0.338283 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 7320.00 | 0.759213 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1370.00 | −0.140232 | −0.0701159 | − | 0.997539i | \(-0.522337\pi\) | ||||
−0.0701159 | + | 0.997539i | \(0.522337\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 486.000 | 0.0494217 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −15354.0 | −1.55121 | −0.775604 | − | 0.631220i | \(-0.782555\pi\) | ||||
−0.775604 | + | 0.631220i | \(0.782555\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13024.0 | 1.30729 | 0.653646 | − | 0.756800i | \(-0.273238\pi\) | ||||
0.653646 | + | 0.756800i | \(0.273238\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 14436.0 | 1.43045 | 0.715223 | − | 0.698896i | \(-0.246325\pi\) | ||||
0.715223 | + | 0.698896i | \(0.246325\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2656.00 | 0.261498 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −7662.00 | −0.749568 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −16272.0 | −1.58179 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3726.00 | −0.357656 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 12096.0 | 1.15382 | 0.576911 | − | 0.816807i | \(-0.304258\pi\) | ||||
0.576911 | + | 0.816807i | \(0.304258\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2260.00 | 0.214235 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1728.00 | −0.162788 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6056.00 | −0.563498 | −0.281749 | − | 0.959488i | \(-0.590915\pi\) | ||||
−0.281749 | + | 0.959488i | \(0.590915\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −2460.00 | −0.227495 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7524.00 | 0.691555 | 0.345777 | − | 0.938317i | \(-0.387615\pi\) | ||||
0.345777 | + | 0.938317i | \(0.387615\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4212.00 | 0.384785 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2880.00 | 0.259931 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5276.00 | 0.473319 | 0.236660 | − | 0.971593i | \(-0.423947\pi\) | ||||
0.236660 | + | 0.971593i | \(0.423947\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 5832.00 | 0.520069 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −4968.00 | −0.440382 | −0.220191 | − | 0.975457i | \(-0.570668\pi\) | ||||
−0.220191 | + | 0.975457i | \(0.570668\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6291.00 | 0.551071 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 10998.0 | 0.957717 | 0.478858 | − | 0.877892i | \(-0.341051\pi\) | ||||
0.478858 | + | 0.877892i | \(0.341051\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 208.000 | 0.0180066 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2700.00 | 0.232374 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −15552.0 | −1.32297 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −3726.00 | −0.315131 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −8838.00 | −0.743186 | −0.371593 | − | 0.928396i | \(-0.621188\pi\) | ||||
−0.371593 | + | 0.928396i | \(0.621188\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22436.0 | −1.87583 | −0.937914 | − | 0.346869i | \(-0.887245\pi\) | ||||
−0.937914 | + | 0.346869i | \(0.887245\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 288.000 | 0.0238055 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6983.00 | −0.573929 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6156.00 | −0.503103 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 900.000 | 0.0731395 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −3348.00 | −0.269044 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −10044.0 | −0.802645 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4762.00 | −0.378437 | −0.189218 | − | 0.981935i | \(-0.560595\pi\) | ||||
−0.189218 | + | 0.981935i | \(0.560595\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −3210.00 | −0.253691 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6004.00 | 0.469310 | 0.234655 | − | 0.972079i | \(-0.424604\pi\) | ||||
0.234655 | + | 0.972079i | \(0.424604\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 3798.00 | 0.295254 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 23400.0 | 1.80921 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4096.00 | −0.314972 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 5274.00 | 0.401197 | 0.200598 | − | 0.979674i | \(-0.435711\pi\) | ||||
0.200598 | + | 0.979674i | \(0.435711\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4520.00 | −0.341996 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1944.00 | 0.146303 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 12420.0 | 0.929735 | 0.464867 | − | 0.885380i | \(-0.346102\pi\) | ||||
0.464867 | + | 0.885380i | \(0.346102\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −648.000 | −0.0479955 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −21366.0 | −1.57418 | −0.787091 | − | 0.616837i | \(-0.788414\pi\) | ||||
−0.787091 | + | 0.616837i | \(0.788414\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 21140.0 | 1.54935 | 0.774677 | − | 0.632357i | \(-0.217912\pi\) | ||||
0.774677 | + | 0.632357i | \(0.217912\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1728.00 | 0.125983 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3266.00 | −0.235642 | −0.117821 | − | 0.993035i | \(-0.537591\pi\) | ||||
−0.117821 | + | 0.993035i | \(0.537591\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −4026.00 | −0.288972 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9504.00 | −0.678644 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −14904.0 | −1.05877 | ||||||||
\(584\) | 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 | ||||||||
\(591\) | 4266.00 | 0.296920 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −9522.00 | −0.659396 | −0.329698 | − | 0.944086i | \(-0.606947\pi\) | ||||
−0.329698 | + | 0.944086i | \(0.606947\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −2616.00 | −0.179340 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −10296.0 | −0.702309 | −0.351155 | − | 0.936318i | \(-0.614211\pi\) | ||||
−0.351155 | + | 0.936318i | \(0.614211\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3382.00 | −0.229542 | −0.114771 | − | 0.993392i | \(-0.536613\pi\) | ||||
−0.114771 | + | 0.993392i | \(0.536613\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2988.00 | −0.201792 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20656.0 | 1.38122 | 0.690611 | − | 0.723227i | \(-0.257342\pi\) | ||||
0.690611 | + | 0.723227i | \(0.257342\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5616.00 | −0.373681 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −4320.00 | −0.286037 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 22114.0 | 1.45706 | 0.728529 | − | 0.685015i | \(-0.240205\pi\) | ||||
0.728529 | + | 0.685015i | \(0.240205\pi\) | |||||||
\(614\) | 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 | ||||||||
\(619\) | −604.000 | −0.0392194 | −0.0196097 | − | 0.999808i | \(-0.506242\pi\) | ||||
−0.0196097 | + | 0.999808i | \(0.506242\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1944.00 | 0.125620 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 5040.00 | 0.324115 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 10800.0 | 0.687895 | ||||||||
\(628\) | 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 | ||||||||
\(633\) | −4020.00 | −0.252418 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2790.00 | −0.173538 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3240.00 | −0.200583 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4194.00 | 0.258429 | 0.129215 | − | 0.991617i | \(-0.458754\pi\) | ||||
0.129215 | + | 0.991617i | \(0.458754\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7252.00 | 0.444776 | 0.222388 | − | 0.974958i | \(-0.428615\pi\) | ||||
0.222388 | + | 0.974958i | \(0.428615\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 6696.00 | 0.406873 | 0.203437 | − | 0.979088i | \(-0.434789\pi\) | ||||
0.203437 | + | 0.979088i | \(0.434789\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −24624.0 | −1.48933 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −384.000 | −0.0231185 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −28422.0 | −1.70328 | −0.851638 | − | 0.524131i | \(-0.824390\pi\) | ||||
−0.851638 | + | 0.524131i | \(0.824390\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −234.000 | −0.0138953 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −19908.0 | −1.17679 | −0.588396 | − | 0.808573i | \(-0.700240\pi\) | ||||
−0.588396 | + | 0.808573i | \(0.700240\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14318.0 | 0.842520 | 0.421260 | − | 0.906940i | \(-0.361588\pi\) | ||||
0.421260 | + | 0.906940i | \(0.361588\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 540.000 | 0.0316318 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 16848.0 | 0.978047 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 14640.0 | 0.846061 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 15192.0 | 0.874040 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −30050.0 | −1.72116 | −0.860581 | − | 0.509313i | \(-0.829899\pi\) | ||||
−0.860581 | + | 0.509313i | \(0.829899\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −22158.0 | −1.25790 | −0.628952 | − | 0.777444i | \(-0.716516\pi\) | ||||
−0.628952 | + | 0.777444i | \(0.716516\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8432.00 | −0.476569 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 8100.00 | 0.455790 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 3132.00 | 0.175465 | 0.0877325 | − | 0.996144i | \(-0.472038\pi\) | ||||
0.0877325 | + | 0.996144i | \(0.472038\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −762.000 | −0.0423175 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −4140.00 | −0.228914 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −20932.0 | −1.15237 | −0.576187 | − | 0.817318i | \(-0.695460\pi\) | ||||
−0.576187 | + | 0.817318i | \(0.695460\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2592.00 | −0.142081 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1620.00 | −0.0880371 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 13230.0 | 0.715886 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −21834.0 | −1.17640 | −0.588202 | − | 0.808714i | \(-0.700164\pi\) | ||||
−0.588202 | + | 0.808714i | \(0.700164\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −22600.0 | −1.21248 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −4464.00 | −0.237463 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12446.0 | 0.659266 | 0.329633 | − | 0.944109i | \(-0.393075\pi\) | ||||
0.329633 | + | 0.944109i | \(0.393075\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4608.00 | 0.243057 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1152.00 | 0.0605088 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 11664.0 | 0.607531 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −12528.0 | −0.649813 | −0.324907 | − | 0.945746i | \(-0.605333\pi\) | ||||
−0.324907 | + | 0.945746i | \(0.605333\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 64.0000 | 0.00330580 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −15414.0 | −0.792881 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −11576.0 | −0.590550 | −0.295275 | − | 0.955412i | \(-0.595411\pi\) | ||||
−0.295275 | + | 0.955412i | \(0.595411\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 729.000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8136.00 | 0.411656 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 29338.0 | 1.47834 | 0.739170 | − | 0.673519i | \(-0.235218\pi\) | ||||
0.739170 | + | 0.673519i | \(0.235218\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −11952.0 | −0.597364 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2540.00 | 0.126435 | 0.0632175 | − | 0.998000i | \(-0.479864\pi\) | ||||
0.0632175 | + | 0.998000i | \(0.479864\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3000.00 | 0.148728 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 18792.0 | 0.927876 | 0.463938 | − | 0.885868i | \(-0.346436\pi\) | ||||
0.463938 | + | 0.885868i | \(0.346436\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 10692.0 | 0.523695 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 14112.0 | 0.688440 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4832.00 | 0.234783 | 0.117392 | − | 0.993086i | \(-0.462547\pi\) | ||||
0.117392 | + | 0.993086i | \(0.462547\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −14364.0 | −0.695157 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20818.0 | 0.999529 | 0.499764 | − | 0.866161i | \(-0.333420\pi\) | ||||
0.499764 | + | 0.866161i | \(0.333420\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 7776.00 | 0.371872 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 12042.0 | 0.573617 | 0.286808 | − | 0.957988i | \(-0.407406\pi\) | ||||
0.286808 | + | 0.957988i | \(0.407406\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12976.0 | −0.615679 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −6840.00 | −0.322005 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13058.0 | 0.612332 | 0.306166 | − | 0.951978i | \(-0.400954\pi\) | ||||
0.306166 | + | 0.951978i | \(0.400954\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −17658.0 | −0.824821 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 11826.0 | 0.550261 | 0.275130 | − | 0.961407i | \(-0.411279\pi\) | ||||
0.275130 | + | 0.961407i | \(0.411279\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 5424.00 | 0.250431 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −9000.00 | −0.413939 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12960.0 | −0.593784 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6318.00 | 0.288361 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −11996.0 | −0.543343 | −0.271672 | − | 0.962390i | \(-0.587576\pi\) | ||||
−0.271672 | + | 0.962390i | \(0.587576\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 6696.00 | 0.302134 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −9072.00 | −0.407792 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4220.00 | 0.188974 | ||||||||
\(794\) | 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 | ||||||||
\(801\) | −5670.00 | −0.250112 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −936.000 | −0.0411342 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1998.00 | 0.0871536 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −40806.0 | −1.77338 | −0.886689 | − | 0.462367i | \(-0.847000\pi\) | ||||
−0.886689 | + | 0.462367i | \(0.847000\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −17980.0 | −0.778500 | −0.389250 | − | 0.921132i | \(-0.627266\pi\) | ||||
−0.389250 | + | 0.921132i | \(0.627266\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 16608.0 | 0.716443 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 45200.0 | 1.93555 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −720.000 | −0.0307190 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −12834.0 | −0.545566 | −0.272783 | − | 0.962076i | \(-0.587944\pi\) | ||||
−0.272783 | + | 0.962076i | \(0.587944\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 37864.0 | 1.60371 | 0.801857 | − | 0.597516i | \(-0.203846\pi\) | ||||
0.801857 | + | 0.597516i | \(0.203846\pi\) | |||||||
\(824\) | 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 | ||||||||
\(829\) | 45638.0 | 1.91203 | 0.956015 | − | 0.293317i | \(-0.0947591\pi\) | ||||
0.956015 | + | 0.293317i | \(0.0947591\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 6378.00 | 0.266246 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 5022.00 | 0.208886 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 432.000 | 0.0178400 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 17496.0 | 0.719939 | 0.359970 | − | 0.932964i | \(-0.382787\pi\) | ||||
0.359970 | + | 0.932964i | \(0.382787\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 30367.0 | 1.24511 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 8802.00 | 0.359617 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 280.000 | 0.0113588 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 6108.00 | 0.246909 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −16272.0 | −0.655461 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −32174.0 | −1.29146 | −0.645731 | − | 0.763565i | \(-0.723447\pi\) | ||||
−0.645731 | + | 0.763565i | \(0.723447\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 38934.0 | 1.55188 | 0.775939 | − | 0.630807i | \(-0.217276\pi\) | ||||
0.775939 | + | 0.630807i | \(0.217276\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 29780.0 | 1.18286 | 0.591432 | − | 0.806355i | \(-0.298563\pi\) | ||||
0.591432 | + | 0.806355i | \(0.298563\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2160.00 | 0.0854966 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 48096.0 | 1.89711 | 0.948556 | − | 0.316611i | \(-0.102545\pi\) | ||||
0.948556 | + | 0.316611i | \(0.102545\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 13767.0 | 0.539275 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 18432.0 | 0.719520 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3320.00 | −0.129155 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 9486.00 | 0.367758 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −21302.0 | −0.820202 | −0.410101 | − | 0.912040i | \(-0.634507\pi\) | ||||
−0.410101 | + | 0.912040i | \(0.634507\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 6858.00 | 0.263157 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −7470.00 | −0.285665 | −0.142832 | − | 0.989747i | \(-0.545621\pi\) | ||||
−0.142832 | + | 0.989747i | \(0.545621\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −764.000 | −0.0291174 | −0.0145587 | − | 0.999894i | \(-0.504634\pi\) | ||||
−0.0145587 | + | 0.999894i | \(0.504634\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −32328.0 | −1.22375 | −0.611876 | − | 0.790954i | \(-0.709585\pi\) | ||||
−0.611876 | + | 0.790954i | \(0.709585\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4736.00 | −0.178673 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2916.00 | 0.109640 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 43200.0 | 1.61885 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 2160.00 | 0.0804017 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 3744.00 | 0.138898 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7452.00 | 0.275541 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −10848.0 | −0.399777 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 36316.0 | 1.32950 | 0.664748 | − | 0.747068i | \(-0.268539\pi\) | ||||
0.664748 | + | 0.747068i | \(0.268539\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 5022.00 | 0.183244 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −13392.0 | −0.487044 | −0.243522 | − | 0.969895i | \(-0.578303\pi\) | ||||
−0.243522 | + | 0.969895i | \(0.578303\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 42768.0 | 1.55029 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 15264.0 | 0.549686 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 38072.0 | 1.36657 | 0.683286 | − | 0.730151i | \(-0.260550\pi\) | ||||
0.683286 | + | 0.730151i | \(0.260550\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 3732.00 | 0.133522 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −3600.00 | −0.128381 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −72.0000 | −0.00255101 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −12798.0 | −0.451979 | −0.225990 | − | 0.974130i | \(-0.572562\pi\) | ||||
−0.225990 | + | 0.974130i | \(0.572562\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 27900.0 | 0.982154 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −3672.00 | −0.128849 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −34874.0 | −1.21588 | −0.607942 | − | 0.793981i | \(-0.708005\pi\) | ||||
−0.607942 | + | 0.793981i | \(0.708005\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 5694.00 | 0.197888 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 17190.0 | 0.595513 | 0.297757 | − | 0.954642i | \(-0.403762\pi\) | ||||
0.297757 | + | 0.954642i | \(0.403762\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −6480.00 | −0.223773 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −40284.0 | −1.38232 | −0.691158 | − | 0.722703i | \(-0.742899\pi\) | ||||
−0.691158 | + | 0.722703i | \(0.742899\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −260.000 | −0.00889353 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −27486.0 | −0.937218 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −15498.0 | −0.526789 | −0.263394 | − | 0.964688i | \(-0.584842\pi\) | ||||
−0.263394 | + | 0.964688i | \(0.584842\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 25272.0 | 0.853634 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 7632.00 | 0.256987 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −29535.0 | −0.991407 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −15876.0 | −0.531253 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −37160.0 | −1.23577 | −0.617883 | − | 0.786270i | \(-0.712009\pi\) | ||||
−0.617883 | + | 0.786270i | \(0.712009\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −5400.00 | −0.179023 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 18468.0 | 0.610367 | 0.305183 | − | 0.952294i | \(-0.401282\pi\) | ||||
0.305183 | + | 0.952294i | \(0.401282\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −20512.0 | −0.675832 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −10386.0 | −0.340100 | −0.170050 | − | 0.985435i | \(-0.554393\pi\) | ||||
−0.170050 | + | 0.985435i | \(0.554393\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −22680.0 | −0.740404 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 14598.0 | 0.475105 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −44136.0 | −1.43206 | −0.716032 | − | 0.698067i | \(-0.754044\pi\) | ||||
−0.716032 | + | 0.698067i | \(0.754044\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −10368.0 | −0.334364 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 32544.0 | 1.04635 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −28432.0 | −0.911375 | −0.455687 | − | 0.890140i | \(-0.650606\pi\) | ||||
−0.455687 | + | 0.890140i | \(0.650606\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 13044.0 | 0.416857 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 39778.0 | 1.26357 | 0.631786 | − | 0.775143i | \(-0.282322\pi\) | ||||
0.631786 | + | 0.775143i | \(0.282322\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −6102.00 | −0.193252 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))