Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [9025,2,Mod(1,9025)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(9025, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("9025.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 9025 = 5^{2} \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9025.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: | \(72.0649878242\) |
Analytic rank: | \(1\) |
Dimension: | \(3\) |
Coefficient field: | \(\Q(\zeta_{18})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - 3x - 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(1.87939\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 9025.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.879385 | −0.621819 | −0.310910 | − | 0.950439i | \(-0.600634\pi\) | ||||
−0.310910 | + | 0.950439i | \(0.600634\pi\) | |||||||
\(3\) | −0.532089 | −0.307202 | −0.153601 | − | 0.988133i | \(-0.549087\pi\) | ||||
−0.153601 | + | 0.988133i | \(0.549087\pi\) | |||||||
\(4\) | −1.22668 | −0.613341 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.467911 | 0.191024 | ||||||||
\(7\) | 1.87939 | 0.710341 | 0.355170 | − | 0.934802i | \(-0.384423\pi\) | ||||
0.355170 | + | 0.934802i | \(0.384423\pi\) | |||||||
\(8\) | 2.83750 | 1.00321 | ||||||||
\(9\) | −2.71688 | −0.905627 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.41147 | 1.02860 | 0.514299 | − | 0.857611i | \(-0.328052\pi\) | ||||
0.514299 | + | 0.857611i | \(0.328052\pi\) | |||||||
\(12\) | 0.652704 | 0.188419 | ||||||||
\(13\) | 5.29086 | 1.46742 | 0.733710 | − | 0.679463i | \(-0.237787\pi\) | ||||
0.733710 | + | 0.679463i | \(0.237787\pi\) | |||||||
\(14\) | −1.65270 | −0.441704 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.0418891 | −0.0104723 | ||||||||
\(17\) | −1.65270 | −0.400840 | −0.200420 | − | 0.979710i | \(-0.564231\pi\) | ||||
−0.200420 | + | 0.979710i | \(0.564231\pi\) | |||||||
\(18\) | 2.38919 | 0.563136 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.00000 | −0.218218 | ||||||||
\(22\) | −3.00000 | −0.639602 | ||||||||
\(23\) | −1.75877 | −0.366729 | −0.183364 | − | 0.983045i | \(-0.558699\pi\) | ||||
−0.183364 | + | 0.983045i | \(0.558699\pi\) | |||||||
\(24\) | −1.50980 | −0.308187 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −4.65270 | −0.912470 | ||||||||
\(27\) | 3.04189 | 0.585412 | ||||||||
\(28\) | −2.30541 | −0.435681 | ||||||||
\(29\) | −3.46791 | −0.643975 | −0.321987 | − | 0.946744i | \(-0.604351\pi\) | ||||
−0.321987 | + | 0.946744i | \(0.604351\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.94356 | 0.349074 | 0.174537 | − | 0.984651i | \(-0.444157\pi\) | ||||
0.174537 | + | 0.984651i | \(0.444157\pi\) | |||||||
\(32\) | −5.63816 | −0.996695 | ||||||||
\(33\) | −1.81521 | −0.315987 | ||||||||
\(34\) | 1.45336 | 0.249250 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.33275 | 0.555458 | ||||||||
\(37\) | 0.837496 | 0.137684 | 0.0688418 | − | 0.997628i | \(-0.478070\pi\) | ||||
0.0688418 | + | 0.997628i | \(0.478070\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.81521 | −0.450794 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.49020 | −0.701251 | −0.350626 | − | 0.936516i | \(-0.614031\pi\) | ||||
−0.350626 | + | 0.936516i | \(0.614031\pi\) | |||||||
\(42\) | 0.879385 | 0.135692 | ||||||||
\(43\) | −4.80066 | −0.732094 | −0.366047 | − | 0.930596i | \(-0.619289\pi\) | ||||
−0.366047 | + | 0.930596i | \(0.619289\pi\) | |||||||
\(44\) | −4.18479 | −0.630881 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.54664 | 0.228039 | ||||||||
\(47\) | −0.716881 | −0.104568 | −0.0522840 | − | 0.998632i | \(-0.516650\pi\) | ||||
−0.0522840 | + | 0.998632i | \(0.516650\pi\) | |||||||
\(48\) | 0.0222887 | 0.00321710 | ||||||||
\(49\) | −3.46791 | −0.495416 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.879385 | 0.123139 | ||||||||
\(52\) | −6.49020 | −0.900029 | ||||||||
\(53\) | 6.10607 | 0.838733 | 0.419366 | − | 0.907817i | \(-0.362252\pi\) | ||||
0.419366 | + | 0.907817i | \(0.362252\pi\) | |||||||
\(54\) | −2.67499 | −0.364020 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 5.33275 | 0.712618 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.04963 | 0.400436 | ||||||||
\(59\) | −10.7588 | −1.40067 | −0.700336 | − | 0.713813i | \(-0.746967\pi\) | ||||
−0.700336 | + | 0.713813i | \(0.746967\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.38919 | 0.561978 | 0.280989 | − | 0.959711i | \(-0.409338\pi\) | ||||
0.280989 | + | 0.959711i | \(0.409338\pi\) | |||||||
\(62\) | −1.70914 | −0.217061 | ||||||||
\(63\) | −5.10607 | −0.643304 | ||||||||
\(64\) | 5.04189 | 0.630236 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.59627 | 0.196487 | ||||||||
\(67\) | −14.2121 | −1.73629 | −0.868144 | − | 0.496312i | \(-0.834687\pi\) | ||||
−0.868144 | + | 0.496312i | \(0.834687\pi\) | |||||||
\(68\) | 2.02734 | 0.245851 | ||||||||
\(69\) | 0.935822 | 0.112660 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −13.7588 | −1.63287 | −0.816433 | − | 0.577440i | \(-0.804052\pi\) | ||||
−0.816433 | + | 0.577440i | \(0.804052\pi\) | |||||||
\(72\) | −7.70914 | −0.908531 | ||||||||
\(73\) | 7.51754 | 0.879862 | 0.439931 | − | 0.898032i | \(-0.355003\pi\) | ||||
0.439931 | + | 0.898032i | \(0.355003\pi\) | |||||||
\(74\) | −0.736482 | −0.0856143 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.41147 | 0.730655 | ||||||||
\(78\) | 2.47565 | 0.280312 | ||||||||
\(79\) | −6.96316 | −0.783417 | −0.391709 | − | 0.920089i | \(-0.628116\pi\) | ||||
−0.391709 | + | 0.920089i | \(0.628116\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.53209 | 0.725788 | ||||||||
\(82\) | 3.94862 | 0.436052 | ||||||||
\(83\) | −2.51249 | −0.275781 | −0.137891 | − | 0.990447i | \(-0.544032\pi\) | ||||
−0.137891 | + | 0.990447i | \(0.544032\pi\) | |||||||
\(84\) | 1.22668 | 0.133842 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 4.22163 | 0.455230 | ||||||||
\(87\) | 1.84524 | 0.197830 | ||||||||
\(88\) | 9.68004 | 1.03190 | ||||||||
\(89\) | −2.28312 | −0.242010 | −0.121005 | − | 0.992652i | \(-0.538612\pi\) | ||||
−0.121005 | + | 0.992652i | \(0.538612\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.94356 | 1.04237 | ||||||||
\(92\) | 2.15745 | 0.224930 | ||||||||
\(93\) | −1.03415 | −0.107236 | ||||||||
\(94\) | 0.630415 | 0.0650223 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.00000 | 0.306186 | ||||||||
\(97\) | 1.82295 | 0.185092 | 0.0925462 | − | 0.995708i | \(-0.470499\pi\) | ||||
0.0925462 | + | 0.995708i | \(0.470499\pi\) | |||||||
\(98\) | 3.04963 | 0.308059 | ||||||||
\(99\) | −9.26857 | −0.931526 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.92127 | −0.788196 | −0.394098 | − | 0.919068i | \(-0.628943\pi\) | ||||
−0.394098 | + | 0.919068i | \(0.628943\pi\) | |||||||
\(102\) | −0.773318 | −0.0765699 | ||||||||
\(103\) | 0.0145479 | 0.00143345 | 0.000716725 | − | 1.00000i | \(-0.499772\pi\) | ||||
0.000716725 | 1.00000i | \(0.499772\pi\) | ||||||||
\(104\) | 15.0128 | 1.47213 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.36959 | −0.521540 | ||||||||
\(107\) | 3.55438 | 0.343615 | 0.171807 | − | 0.985131i | \(-0.445039\pi\) | ||||
0.171807 | + | 0.985131i | \(0.445039\pi\) | |||||||
\(108\) | −3.73143 | −0.359057 | ||||||||
\(109\) | 7.36959 | 0.705878 | 0.352939 | − | 0.935646i | \(-0.385182\pi\) | ||||
0.352939 | + | 0.935646i | \(0.385182\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.445622 | −0.0422966 | ||||||||
\(112\) | −0.0787257 | −0.00743888 | ||||||||
\(113\) | −7.37733 | −0.694000 | −0.347000 | − | 0.937865i | \(-0.612800\pi\) | ||||
−0.347000 | + | 0.937865i | \(0.612800\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.25402 | 0.394976 | ||||||||
\(117\) | −14.3746 | −1.32894 | ||||||||
\(118\) | 9.46110 | 0.870965 | ||||||||
\(119\) | −3.10607 | −0.284733 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.638156 | 0.0580142 | ||||||||
\(122\) | −3.85978 | −0.349449 | ||||||||
\(123\) | 2.38919 | 0.215426 | ||||||||
\(124\) | −2.38413 | −0.214101 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 4.49020 | 0.400019 | ||||||||
\(127\) | 0.101014 | 0.00896358 | 0.00448179 | − | 0.999990i | \(-0.498573\pi\) | ||||
0.00448179 | + | 0.999990i | \(0.498573\pi\) | |||||||
\(128\) | 6.84255 | 0.604802 | ||||||||
\(129\) | 2.55438 | 0.224900 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.03684 | −0.265330 | −0.132665 | − | 0.991161i | \(-0.542353\pi\) | ||||
−0.132665 | + | 0.991161i | \(0.542353\pi\) | |||||||
\(132\) | 2.22668 | 0.193808 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 12.4979 | 1.07966 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.68954 | −0.402125 | ||||||||
\(137\) | −19.5398 | −1.66940 | −0.834700 | − | 0.550705i | \(-0.814359\pi\) | ||||
−0.834700 | + | 0.550705i | \(0.814359\pi\) | |||||||
\(138\) | −0.822948 | −0.0700540 | ||||||||
\(139\) | 15.3969 | 1.30595 | 0.652975 | − | 0.757379i | \(-0.273521\pi\) | ||||
0.652975 | + | 0.757379i | \(0.273521\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.381445 | 0.0321234 | ||||||||
\(142\) | 12.0993 | 1.01535 | ||||||||
\(143\) | 18.0496 | 1.50939 | ||||||||
\(144\) | 0.113808 | 0.00948397 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −6.61081 | −0.547115 | ||||||||
\(147\) | 1.84524 | 0.152193 | ||||||||
\(148\) | −1.02734 | −0.0844469 | ||||||||
\(149\) | −3.76651 | −0.308565 | −0.154282 | − | 0.988027i | \(-0.549307\pi\) | ||||
−0.154282 | + | 0.988027i | \(0.549307\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.5963 | −1.18783 | −0.593914 | − | 0.804529i | \(-0.702418\pi\) | ||||
−0.593914 | + | 0.804529i | \(0.702418\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.49020 | 0.363011 | ||||||||
\(154\) | −5.63816 | −0.454336 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 3.45336 | 0.276490 | ||||||||
\(157\) | 10.3746 | 0.827986 | 0.413993 | − | 0.910280i | \(-0.364134\pi\) | ||||
0.413993 | + | 0.910280i | \(0.364134\pi\) | |||||||
\(158\) | 6.12330 | 0.487144 | ||||||||
\(159\) | −3.24897 | −0.257660 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.30541 | −0.260503 | ||||||||
\(162\) | −5.74422 | −0.451309 | ||||||||
\(163\) | 2.02229 | 0.158398 | 0.0791989 | − | 0.996859i | \(-0.474764\pi\) | ||||
0.0791989 | + | 0.996859i | \(0.474764\pi\) | |||||||
\(164\) | 5.50805 | 0.430106 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.20945 | 0.171486 | ||||||||
\(167\) | 23.2567 | 1.79966 | 0.899829 | − | 0.436242i | \(-0.143691\pi\) | ||||
0.899829 | + | 0.436242i | \(0.143691\pi\) | |||||||
\(168\) | −2.83750 | −0.218918 | ||||||||
\(169\) | 14.9932 | 1.15332 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.88888 | 0.449023 | ||||||||
\(173\) | −0.896622 | −0.0681689 | −0.0340844 | − | 0.999419i | \(-0.510852\pi\) | ||||
−0.0340844 | + | 0.999419i | \(0.510852\pi\) | |||||||
\(174\) | −1.62267 | −0.123015 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.142903 | −0.0107718 | ||||||||
\(177\) | 5.72462 | 0.430289 | ||||||||
\(178\) | 2.00774 | 0.150487 | ||||||||
\(179\) | −21.3182 | −1.59340 | −0.796699 | − | 0.604377i | \(-0.793422\pi\) | ||||
−0.796699 | + | 0.604377i | \(0.793422\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.0993 | −1.19665 | −0.598324 | − | 0.801254i | \(-0.704167\pi\) | ||||
−0.598324 | + | 0.801254i | \(0.704167\pi\) | |||||||
\(182\) | −8.74422 | −0.648165 | ||||||||
\(183\) | −2.33544 | −0.172640 | ||||||||
\(184\) | −4.99050 | −0.367905 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.909415 | 0.0666815 | ||||||||
\(187\) | −5.63816 | −0.412303 | ||||||||
\(188\) | 0.879385 | 0.0641358 | ||||||||
\(189\) | 5.71688 | 0.415842 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.9486 | 1.37107 | 0.685537 | − | 0.728038i | \(-0.259568\pi\) | ||||
0.685537 | + | 0.728038i | \(0.259568\pi\) | |||||||
\(192\) | −2.68273 | −0.193610 | ||||||||
\(193\) | −12.9017 | −0.928683 | −0.464341 | − | 0.885656i | \(-0.653709\pi\) | ||||
−0.464341 | + | 0.885656i | \(0.653709\pi\) | |||||||
\(194\) | −1.60307 | −0.115094 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.25402 | 0.303859 | ||||||||
\(197\) | 23.2003 | 1.65295 | 0.826476 | − | 0.562973i | \(-0.190342\pi\) | ||||
0.826476 | + | 0.562973i | \(0.190342\pi\) | |||||||
\(198\) | 8.15064 | 0.579241 | ||||||||
\(199\) | 9.22163 | 0.653704 | 0.326852 | − | 0.945076i | \(-0.394012\pi\) | ||||
0.326852 | + | 0.945076i | \(0.394012\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 7.56212 | 0.533391 | ||||||||
\(202\) | 6.96585 | 0.490116 | ||||||||
\(203\) | −6.51754 | −0.457442 | ||||||||
\(204\) | −1.07873 | −0.0755259 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.0127932 | −0.000891346 0 | ||||||||
\(207\) | 4.77837 | 0.332120 | ||||||||
\(208\) | −0.221629 | −0.0153672 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.6236 | 1.00673 | 0.503365 | − | 0.864074i | \(-0.332095\pi\) | ||||
0.503365 | + | 0.864074i | \(0.332095\pi\) | |||||||
\(212\) | −7.49020 | −0.514429 | ||||||||
\(213\) | 7.32089 | 0.501619 | ||||||||
\(214\) | −3.12567 | −0.213666 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 8.63135 | 0.587289 | ||||||||
\(217\) | 3.65270 | 0.247962 | ||||||||
\(218\) | −6.48070 | −0.438929 | ||||||||
\(219\) | −4.00000 | −0.270295 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.74422 | −0.588200 | ||||||||
\(222\) | 0.391874 | 0.0263008 | ||||||||
\(223\) | 3.01455 | 0.201869 | 0.100935 | − | 0.994893i | \(-0.467817\pi\) | ||||
0.100935 | + | 0.994893i | \(0.467817\pi\) | |||||||
\(224\) | −10.5963 | −0.707993 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.48751 | 0.431543 | ||||||||
\(227\) | 13.7219 | 0.910757 | 0.455378 | − | 0.890298i | \(-0.349504\pi\) | ||||
0.455378 | + | 0.890298i | \(0.349504\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.41416 | 0.622105 | 0.311053 | − | 0.950393i | \(-0.399318\pi\) | ||||
0.311053 | + | 0.950393i | \(0.399318\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.41147 | −0.224459 | ||||||||
\(232\) | −9.84018 | −0.646040 | ||||||||
\(233\) | 24.1857 | 1.58446 | 0.792230 | − | 0.610223i | \(-0.208920\pi\) | ||||
0.792230 | + | 0.610223i | \(0.208920\pi\) | |||||||
\(234\) | 12.6408 | 0.826358 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 13.1976 | 0.859090 | ||||||||
\(237\) | 3.70502 | 0.240667 | ||||||||
\(238\) | 2.73143 | 0.177052 | ||||||||
\(239\) | −23.3259 | −1.50883 | −0.754415 | − | 0.656398i | \(-0.772079\pi\) | ||||
−0.754415 | + | 0.656398i | \(0.772079\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.297667 | 0.0191744 | 0.00958719 | − | 0.999954i | \(-0.496948\pi\) | ||||
0.00958719 | + | 0.999954i | \(0.496948\pi\) | |||||||
\(242\) | −0.561185 | −0.0360743 | ||||||||
\(243\) | −12.6013 | −0.808375 | ||||||||
\(244\) | −5.38413 | −0.344684 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.10101 | −0.133956 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 5.51485 | 0.350193 | ||||||||
\(249\) | 1.33687 | 0.0847205 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −16.1976 | −1.02238 | −0.511191 | − | 0.859467i | \(-0.670796\pi\) | ||||
−0.511191 | + | 0.859467i | \(0.670796\pi\) | |||||||
\(252\) | 6.26352 | 0.394565 | ||||||||
\(253\) | −6.00000 | −0.377217 | ||||||||
\(254\) | −0.0888306 | −0.00557373 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −16.1010 | −1.00631 | ||||||||
\(257\) | −15.3550 | −0.957821 | −0.478910 | − | 0.877864i | \(-0.658968\pi\) | ||||
−0.478910 | + | 0.877864i | \(0.658968\pi\) | |||||||
\(258\) | −2.24628 | −0.139847 | ||||||||
\(259\) | 1.57398 | 0.0978022 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 9.42190 | 0.583201 | ||||||||
\(262\) | 2.67055 | 0.164987 | ||||||||
\(263\) | −9.64321 | −0.594626 | −0.297313 | − | 0.954780i | \(-0.596090\pi\) | ||||
−0.297313 | + | 0.954780i | \(0.596090\pi\) | |||||||
\(264\) | −5.15064 | −0.317000 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.21482 | 0.0743459 | ||||||||
\(268\) | 17.4338 | 1.06494 | ||||||||
\(269\) | −18.2790 | −1.11449 | −0.557245 | − | 0.830348i | \(-0.688142\pi\) | ||||
−0.557245 | + | 0.830348i | \(0.688142\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 18.9641 | 1.15199 | 0.575993 | − | 0.817454i | \(-0.304615\pi\) | ||||
0.575993 | + | 0.817454i | \(0.304615\pi\) | |||||||
\(272\) | 0.0692302 | 0.00419770 | ||||||||
\(273\) | −5.29086 | −0.320217 | ||||||||
\(274\) | 17.1830 | 1.03807 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −1.14796 | −0.0690988 | ||||||||
\(277\) | −13.7638 | −0.826988 | −0.413494 | − | 0.910507i | \(-0.635692\pi\) | ||||
−0.413494 | + | 0.910507i | \(0.635692\pi\) | |||||||
\(278\) | −13.5398 | −0.812065 | ||||||||
\(279\) | −5.28043 | −0.316131 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 13.1111 | 0.782144 | 0.391072 | − | 0.920360i | \(-0.372104\pi\) | ||||
0.391072 | + | 0.920360i | \(0.372104\pi\) | |||||||
\(282\) | −0.335437 | −0.0199750 | ||||||||
\(283\) | 17.3773 | 1.03297 | 0.516487 | − | 0.856295i | \(-0.327239\pi\) | ||||
0.516487 | + | 0.856295i | \(0.327239\pi\) | |||||||
\(284\) | 16.8776 | 1.00150 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −15.8726 | −0.938565 | ||||||||
\(287\) | −8.43882 | −0.498128 | ||||||||
\(288\) | 15.3182 | 0.902634 | ||||||||
\(289\) | −14.2686 | −0.839328 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.969971 | −0.0568607 | ||||||||
\(292\) | −9.22163 | −0.539655 | ||||||||
\(293\) | −15.6040 | −0.911596 | −0.455798 | − | 0.890083i | \(-0.650646\pi\) | ||||
−0.455798 | + | 0.890083i | \(0.650646\pi\) | |||||||
\(294\) | −1.62267 | −0.0946363 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.37639 | 0.138125 | ||||||||
\(297\) | 10.3773 | 0.602154 | ||||||||
\(298\) | 3.31221 | 0.191871 | ||||||||
\(299\) | −9.30541 | −0.538146 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.02229 | −0.520036 | ||||||||
\(302\) | 12.8357 | 0.738614 | ||||||||
\(303\) | 4.21482 | 0.242135 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −3.94862 | −0.225727 | ||||||||
\(307\) | −21.5202 | −1.22822 | −0.614112 | − | 0.789219i | \(-0.710486\pi\) | ||||
−0.614112 | + | 0.789219i | \(0.710486\pi\) | |||||||
\(308\) | −7.86484 | −0.448141 | ||||||||
\(309\) | −0.00774079 | −0.000440358 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 14.4953 | 0.821950 | 0.410975 | − | 0.911647i | \(-0.365188\pi\) | ||||
0.410975 | + | 0.911647i | \(0.365188\pi\) | |||||||
\(312\) | −7.98814 | −0.452239 | ||||||||
\(313\) | −19.5185 | −1.10325 | −0.551625 | − | 0.834092i | \(-0.685992\pi\) | ||||
−0.551625 | + | 0.834092i | \(0.685992\pi\) | |||||||
\(314\) | −9.12330 | −0.514858 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.54158 | 0.480502 | ||||||||
\(317\) | −28.3473 | −1.59214 | −0.796071 | − | 0.605203i | \(-0.793092\pi\) | ||||
−0.796071 | + | 0.605203i | \(0.793092\pi\) | |||||||
\(318\) | 2.85710 | 0.160218 | ||||||||
\(319\) | −11.8307 | −0.662391 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.89124 | −0.105559 | ||||||||
\(322\) | 2.90673 | 0.161986 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −8.01279 | −0.445155 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −1.77837 | −0.0984949 | ||||||||
\(327\) | −3.92127 | −0.216847 | ||||||||
\(328\) | −12.7409 | −0.703500 | ||||||||
\(329\) | −1.34730 | −0.0742789 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.71007 | −0.0939942 | −0.0469971 | − | 0.998895i | \(-0.514965\pi\) | ||||
−0.0469971 | + | 0.998895i | \(0.514965\pi\) | |||||||
\(332\) | 3.08202 | 0.169148 | ||||||||
\(333\) | −2.27538 | −0.124690 | ||||||||
\(334\) | −20.4516 | −1.11906 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.0418891 | 0.00228524 | ||||||||
\(337\) | −25.4388 | −1.38574 | −0.692870 | − | 0.721062i | \(-0.743654\pi\) | ||||
−0.692870 | + | 0.721062i | \(0.743654\pi\) | |||||||
\(338\) | −13.1848 | −0.717158 | ||||||||
\(339\) | 3.92539 | 0.213198 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.63041 | 0.359057 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −19.6732 | −1.06225 | ||||||||
\(344\) | −13.6219 | −0.734441 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.788476 | 0.0423887 | ||||||||
\(347\) | −7.70233 | −0.413483 | −0.206741 | − | 0.978396i | \(-0.566286\pi\) | ||||
−0.206741 | + | 0.978396i | \(0.566286\pi\) | |||||||
\(348\) | −2.26352 | −0.121337 | ||||||||
\(349\) | 22.7570 | 1.21816 | 0.609078 | − | 0.793111i | \(-0.291540\pi\) | ||||
0.609078 | + | 0.793111i | \(0.291540\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 16.0942 | 0.859045 | ||||||||
\(352\) | −19.2344 | −1.02520 | ||||||||
\(353\) | 11.4456 | 0.609189 | 0.304595 | − | 0.952482i | \(-0.401479\pi\) | ||||
0.304595 | + | 0.952482i | \(0.401479\pi\) | |||||||
\(354\) | −5.03415 | −0.267562 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 2.80066 | 0.148435 | ||||||||
\(357\) | 1.65270 | 0.0874704 | ||||||||
\(358\) | 18.7469 | 0.990805 | ||||||||
\(359\) | 10.3841 | 0.548054 | 0.274027 | − | 0.961722i | \(-0.411644\pi\) | ||||
0.274027 | + | 0.961722i | \(0.411644\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 14.1575 | 0.744099 | ||||||||
\(363\) | −0.339556 | −0.0178220 | ||||||||
\(364\) | −12.1976 | −0.639327 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 2.05375 | 0.107351 | ||||||||
\(367\) | 32.5330 | 1.69821 | 0.849105 | − | 0.528224i | \(-0.177142\pi\) | ||||
0.849105 | + | 0.528224i | \(0.177142\pi\) | |||||||
\(368\) | 0.0736733 | 0.00384048 | ||||||||
\(369\) | 12.1993 | 0.635072 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 11.4757 | 0.595786 | ||||||||
\(372\) | 1.26857 | 0.0657723 | ||||||||
\(373\) | −30.4858 | −1.57849 | −0.789246 | − | 0.614077i | \(-0.789529\pi\) | ||||
−0.789246 | + | 0.614077i | \(0.789529\pi\) | |||||||
\(374\) | 4.95811 | 0.256378 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.03415 | −0.104903 | ||||||||
\(377\) | −18.3482 | −0.944982 | ||||||||
\(378\) | −5.02734 | −0.258579 | ||||||||
\(379\) | 17.8598 | 0.917396 | 0.458698 | − | 0.888592i | \(-0.348316\pi\) | ||||
0.458698 | + | 0.888592i | \(0.348316\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.0537486 | −0.00275363 | ||||||||
\(382\) | −16.6631 | −0.852560 | ||||||||
\(383\) | 23.4561 | 1.19855 | 0.599274 | − | 0.800544i | \(-0.295456\pi\) | ||||
0.599274 | + | 0.800544i | \(0.295456\pi\) | |||||||
\(384\) | −3.64084 | −0.185796 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 11.3455 | 0.577473 | ||||||||
\(387\) | 13.0428 | 0.663004 | ||||||||
\(388\) | −2.23618 | −0.113525 | ||||||||
\(389\) | 3.90941 | 0.198215 | 0.0991076 | − | 0.995077i | \(-0.468401\pi\) | ||||
0.0991076 | + | 0.995077i | \(0.468401\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.90673 | 0.146999 | ||||||||
\(392\) | −9.84018 | −0.497004 | ||||||||
\(393\) | 1.61587 | 0.0815097 | ||||||||
\(394\) | −20.4020 | −1.02784 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 11.3696 | 0.571343 | ||||||||
\(397\) | −8.95904 | −0.449642 | −0.224821 | − | 0.974400i | \(-0.572180\pi\) | ||||
−0.224821 | + | 0.974400i | \(0.572180\pi\) | |||||||
\(398\) | −8.10936 | −0.406486 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.02734 | −0.101241 | −0.0506203 | − | 0.998718i | \(-0.516120\pi\) | ||||
−0.0506203 | + | 0.998718i | \(0.516120\pi\) | |||||||
\(402\) | −6.65002 | −0.331673 | ||||||||
\(403\) | 10.2831 | 0.512239 | ||||||||
\(404\) | 9.71688 | 0.483433 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 5.73143 | 0.284446 | ||||||||
\(407\) | 2.85710 | 0.141621 | ||||||||
\(408\) | 2.49525 | 0.123533 | ||||||||
\(409\) | −32.2080 | −1.59258 | −0.796292 | − | 0.604913i | \(-0.793208\pi\) | ||||
−0.796292 | + | 0.604913i | \(0.793208\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 10.3969 | 0.512843 | ||||||||
\(412\) | −0.0178457 | −0.000879193 0 | ||||||||
\(413\) | −20.2199 | −0.994955 | ||||||||
\(414\) | −4.20203 | −0.206518 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −29.8307 | −1.46257 | ||||||||
\(417\) | −8.19253 | −0.401190 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −23.2499 | −1.13583 | −0.567916 | − | 0.823086i | \(-0.692250\pi\) | ||||
−0.567916 | + | 0.823086i | \(0.692250\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.45336 | 0.314518 | 0.157259 | − | 0.987557i | \(-0.449734\pi\) | ||||
0.157259 | + | 0.987557i | \(0.449734\pi\) | |||||||
\(422\) | −12.8598 | −0.626005 | ||||||||
\(423\) | 1.94768 | 0.0946995 | ||||||||
\(424\) | 17.3259 | 0.841422 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −6.43788 | −0.311916 | ||||||||
\(427\) | 8.24897 | 0.399196 | ||||||||
\(428\) | −4.36009 | −0.210753 | ||||||||
\(429\) | −9.60401 | −0.463686 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −13.9973 | −0.674227 | −0.337113 | − | 0.941464i | \(-0.609451\pi\) | ||||
−0.337113 | + | 0.941464i | \(0.609451\pi\) | |||||||
\(432\) | −0.127422 | −0.00613059 | ||||||||
\(433\) | 28.6928 | 1.37889 | 0.689445 | − | 0.724338i | \(-0.257855\pi\) | ||||
0.689445 | + | 0.724338i | \(0.257855\pi\) | |||||||
\(434\) | −3.21213 | −0.154187 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.04013 | −0.432944 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 3.51754 | 0.168075 | ||||||||
\(439\) | −13.3422 | −0.636791 | −0.318395 | − | 0.947958i | \(-0.603144\pi\) | ||||
−0.318395 | + | 0.947958i | \(0.603144\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9.42190 | 0.448662 | ||||||||
\(442\) | 7.68954 | 0.365754 | ||||||||
\(443\) | −33.8830 | −1.60983 | −0.804915 | − | 0.593390i | \(-0.797789\pi\) | ||||
−0.804915 | + | 0.593390i | \(0.797789\pi\) | |||||||
\(444\) | 0.546637 | 0.0259422 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −2.65095 | −0.125526 | ||||||||
\(447\) | 2.00412 | 0.0947916 | ||||||||
\(448\) | 9.47565 | 0.447682 | ||||||||
\(449\) | 18.8402 | 0.889123 | 0.444562 | − | 0.895748i | \(-0.353359\pi\) | ||||
0.444562 | + | 0.895748i | \(0.353359\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −15.3182 | −0.721306 | ||||||||
\(452\) | 9.04963 | 0.425659 | ||||||||
\(453\) | 7.76651 | 0.364903 | ||||||||
\(454\) | −12.0669 | −0.566326 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.2790 | −0.667943 | −0.333972 | − | 0.942583i | \(-0.608389\pi\) | ||||
−0.333972 | + | 0.942583i | \(0.608389\pi\) | |||||||
\(458\) | −8.27868 | −0.386837 | ||||||||
\(459\) | −5.02734 | −0.234656 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −13.9281 | −0.648695 | −0.324348 | − | 0.945938i | \(-0.605145\pi\) | ||||
−0.324348 | + | 0.945938i | \(0.605145\pi\) | |||||||
\(462\) | 3.00000 | 0.139573 | ||||||||
\(463\) | 1.76289 | 0.0819284 | 0.0409642 | − | 0.999161i | \(-0.486957\pi\) | ||||
0.0409642 | + | 0.999161i | \(0.486957\pi\) | |||||||
\(464\) | 0.145268 | 0.00674388 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −21.2686 | −0.985248 | ||||||||
\(467\) | −22.0419 | −1.01998 | −0.509988 | − | 0.860181i | \(-0.670350\pi\) | ||||
−0.509988 | + | 0.860181i | \(0.670350\pi\) | |||||||
\(468\) | 17.6331 | 0.815090 | ||||||||
\(469\) | −26.7101 | −1.23336 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −5.52023 | −0.254359 | ||||||||
\(472\) | −30.5280 | −1.40516 | ||||||||
\(473\) | −16.3773 | −0.753030 | ||||||||
\(474\) | −3.25814 | −0.149651 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 3.81016 | 0.174638 | ||||||||
\(477\) | −16.5895 | −0.759579 | ||||||||
\(478\) | 20.5125 | 0.938219 | ||||||||
\(479\) | −25.4570 | −1.16316 | −0.581580 | − | 0.813489i | \(-0.697565\pi\) | ||||
−0.581580 | + | 0.813489i | \(0.697565\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.43107 | 0.202040 | ||||||||
\(482\) | −0.261764 | −0.0119230 | ||||||||
\(483\) | 1.75877 | 0.0800268 | ||||||||
\(484\) | −0.782814 | −0.0355824 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 11.0814 | 0.502663 | ||||||||
\(487\) | 22.5107 | 1.02006 | 0.510029 | − | 0.860157i | \(-0.329635\pi\) | ||||
0.510029 | + | 0.860157i | \(0.329635\pi\) | |||||||
\(488\) | 12.4543 | 0.563780 | ||||||||
\(489\) | −1.07604 | −0.0486601 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 15.6340 | 0.705554 | 0.352777 | − | 0.935707i | \(-0.385237\pi\) | ||||
0.352777 | + | 0.935707i | \(0.385237\pi\) | |||||||
\(492\) | −2.93077 | −0.132129 | ||||||||
\(493\) | 5.73143 | 0.258131 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.0814140 | −0.00365560 | ||||||||
\(497\) | −25.8580 | −1.15989 | ||||||||
\(498\) | −1.17562 | −0.0526809 | ||||||||
\(499\) | −28.6168 | −1.28106 | −0.640532 | − | 0.767932i | \(-0.721286\pi\) | ||||
−0.640532 | + | 0.767932i | \(0.721286\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −12.3746 | −0.552858 | ||||||||
\(502\) | 14.2439 | 0.635737 | ||||||||
\(503\) | 25.0455 | 1.11672 | 0.558362 | − | 0.829597i | \(-0.311430\pi\) | ||||
0.558362 | + | 0.829597i | \(0.311430\pi\) | |||||||
\(504\) | −14.4884 | −0.645367 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 5.27631 | 0.234561 | ||||||||
\(507\) | −7.97771 | −0.354303 | ||||||||
\(508\) | −0.123913 | −0.00549773 | ||||||||
\(509\) | 33.5212 | 1.48580 | 0.742900 | − | 0.669403i | \(-0.233450\pi\) | ||||
0.742900 | + | 0.669403i | \(0.233450\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 14.1284 | 0.625002 | ||||||||
\(512\) | 0.473897 | 0.0209435 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.5030 | 0.595591 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.13341 | −0.137941 | ||||||||
\(517\) | −2.44562 | −0.107558 | ||||||||
\(518\) | −1.38413 | −0.0608153 | ||||||||
\(519\) | 0.477082 | 0.0209416 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −27.4783 | −1.20385 | −0.601924 | − | 0.798553i | \(-0.705599\pi\) | ||||
−0.601924 | + | 0.798553i | \(0.705599\pi\) | |||||||
\(522\) | −8.28548 | −0.362646 | ||||||||
\(523\) | 10.3574 | 0.452898 | 0.226449 | − | 0.974023i | \(-0.427288\pi\) | ||||
0.226449 | + | 0.974023i | \(0.427288\pi\) | |||||||
\(524\) | 3.72523 | 0.162737 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.48009 | 0.369750 | ||||||||
\(527\) | −3.21213 | −0.139923 | ||||||||
\(528\) | 0.0760373 | 0.00330910 | ||||||||
\(529\) | −19.9067 | −0.865510 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 29.2303 | 1.26849 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −23.7570 | −1.02903 | ||||||||
\(534\) | −1.06830 | −0.0462297 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −40.3269 | −1.74186 | ||||||||
\(537\) | 11.3432 | 0.489494 | ||||||||
\(538\) | 16.0743 | 0.693012 | ||||||||
\(539\) | −11.8307 | −0.509584 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.52435 | 0.108530 | 0.0542651 | − | 0.998527i | \(-0.482718\pi\) | ||||
0.0542651 | + | 0.998527i | \(0.482718\pi\) | |||||||
\(542\) | −16.6767 | −0.716328 | ||||||||
\(543\) | 8.56624 | 0.367612 | ||||||||
\(544\) | 9.31820 | 0.399515 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 4.65270 | 0.199117 | ||||||||
\(547\) | −7.67499 | −0.328159 | −0.164079 | − | 0.986447i | \(-0.552465\pi\) | ||||
−0.164079 | + | 0.986447i | \(0.552465\pi\) | |||||||
\(548\) | 23.9691 | 1.02391 | ||||||||
\(549\) | −11.9249 | −0.508942 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 2.65539 | 0.113021 | ||||||||
\(553\) | −13.0865 | −0.556493 | ||||||||
\(554\) | 12.1037 | 0.514237 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −18.8871 | −0.800993 | ||||||||
\(557\) | −3.25578 | −0.137952 | −0.0689759 | − | 0.997618i | \(-0.521973\pi\) | ||||
−0.0689759 | + | 0.997618i | \(0.521973\pi\) | |||||||
\(558\) | 4.64353 | 0.196576 | ||||||||
\(559\) | −25.3996 | −1.07429 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.00000 | 0.126660 | ||||||||
\(562\) | −11.5297 | −0.486352 | ||||||||
\(563\) | −5.25908 | −0.221644 | −0.110822 | − | 0.993840i | \(-0.535348\pi\) | ||||
−0.110822 | + | 0.993840i | \(0.535348\pi\) | |||||||
\(564\) | −0.467911 | −0.0197026 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −15.2814 | −0.642324 | ||||||||
\(567\) | 12.2763 | 0.515557 | ||||||||
\(568\) | −39.0405 | −1.63810 | ||||||||
\(569\) | −29.9564 | −1.25584 | −0.627918 | − | 0.778280i | \(-0.716093\pi\) | ||||
−0.627918 | + | 0.778280i | \(0.716093\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.7101 | −0.699295 | −0.349647 | − | 0.936881i | \(-0.613699\pi\) | ||||
−0.349647 | + | 0.936881i | \(0.613699\pi\) | |||||||
\(572\) | −22.1411 | −0.925768 | ||||||||
\(573\) | −10.0823 | −0.421196 | ||||||||
\(574\) | 7.42097 | 0.309745 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −13.6982 | −0.570759 | ||||||||
\(577\) | 13.6800 | 0.569508 | 0.284754 | − | 0.958601i | \(-0.408088\pi\) | ||||
0.284754 | + | 0.958601i | \(0.408088\pi\) | |||||||
\(578\) | 12.5476 | 0.521910 | ||||||||
\(579\) | 6.86484 | 0.285293 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −4.72193 | −0.195899 | ||||||||
\(582\) | 0.852978 | 0.0353571 | ||||||||
\(583\) | 20.8307 | 0.862719 | ||||||||
\(584\) | 21.3310 | 0.882683 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 13.7219 | 0.566848 | ||||||||
\(587\) | 24.0368 | 0.992106 | 0.496053 | − | 0.868292i | \(-0.334782\pi\) | ||||
0.496053 | + | 0.868292i | \(0.334782\pi\) | |||||||
\(588\) | −2.26352 | −0.0933459 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −12.3446 | −0.507789 | ||||||||
\(592\) | −0.0350819 | −0.00144186 | ||||||||
\(593\) | 4.24123 | 0.174166 | 0.0870832 | − | 0.996201i | \(-0.472245\pi\) | ||||
0.0870832 | + | 0.996201i | \(0.472245\pi\) | |||||||
\(594\) | −9.12567 | −0.374431 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.62031 | 0.189255 | ||||||||
\(597\) | −4.90673 | −0.200819 | ||||||||
\(598\) | 8.18304 | 0.334629 | ||||||||
\(599\) | −26.2739 | −1.07352 | −0.536762 | − | 0.843734i | \(-0.680353\pi\) | ||||
−0.536762 | + | 0.843734i | \(0.680353\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −42.2395 | −1.72298 | −0.861492 | − | 0.507771i | \(-0.830470\pi\) | ||||
−0.861492 | + | 0.507771i | \(0.830470\pi\) | |||||||
\(602\) | 7.93407 | 0.323368 | ||||||||
\(603\) | 38.6127 | 1.57243 | ||||||||
\(604\) | 17.9050 | 0.728543 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −3.70645 | −0.150564 | ||||||||
\(607\) | 22.0969 | 0.896885 | 0.448443 | − | 0.893812i | \(-0.351979\pi\) | ||||
0.448443 | + | 0.893812i | \(0.351979\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 3.46791 | 0.140527 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3.79292 | −0.153445 | ||||||||
\(612\) | −5.50805 | −0.222650 | ||||||||
\(613\) | −7.17705 | −0.289878 | −0.144939 | − | 0.989441i | \(-0.546299\pi\) | ||||
−0.144939 | + | 0.989441i | \(0.546299\pi\) | |||||||
\(614\) | 18.9246 | 0.763734 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 18.1925 | 0.732998 | ||||||||
\(617\) | 49.3729 | 1.98768 | 0.993839 | − | 0.110836i | \(-0.0353528\pi\) | ||||
0.993839 | + | 0.110836i | \(0.0353528\pi\) | |||||||
\(618\) | 0.00680713 | 0.000273823 0 | ||||||||
\(619\) | 26.4979 | 1.06504 | 0.532521 | − | 0.846417i | \(-0.321245\pi\) | ||||
0.532521 | + | 0.846417i | \(0.321245\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.34998 | −0.214687 | ||||||||
\(622\) | −12.7469 | −0.511105 | ||||||||
\(623\) | −4.29086 | −0.171910 | ||||||||
\(624\) | 0.117926 | 0.00472083 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 17.1643 | 0.686022 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −12.7264 | −0.507838 | ||||||||
\(629\) | −1.38413 | −0.0551890 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.3209 | 1.32648 | 0.663242 | − | 0.748405i | \(-0.269180\pi\) | ||||
0.663242 | + | 0.748405i | \(0.269180\pi\) | |||||||
\(632\) | −19.7579 | −0.785929 | ||||||||
\(633\) | −7.78106 | −0.309269 | ||||||||
\(634\) | 24.9282 | 0.990025 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 3.98545 | 0.158033 | ||||||||
\(637\) | −18.3482 | −0.726983 | ||||||||
\(638\) | 10.4037 | 0.411888 | ||||||||
\(639\) | 37.3809 | 1.47877 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.136096 | −0.00537548 | −0.00268774 | − | 0.999996i | \(-0.500856\pi\) | ||||
−0.00268774 | + | 0.999996i | \(0.500856\pi\) | |||||||
\(642\) | 1.66313 | 0.0656386 | ||||||||
\(643\) | −48.1780 | −1.89995 | −0.949977 | − | 0.312319i | \(-0.898894\pi\) | ||||
−0.949977 | + | 0.312319i | \(0.898894\pi\) | |||||||
\(644\) | 4.05468 | 0.159777 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 36.9718 | 1.45351 | 0.726756 | − | 0.686895i | \(-0.241027\pi\) | ||||
0.726756 | + | 0.686895i | \(0.241027\pi\) | |||||||
\(648\) | 18.5348 | 0.728115 | ||||||||
\(649\) | −36.7033 | −1.44073 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.94356 | −0.0761742 | ||||||||
\(652\) | −2.48070 | −0.0971519 | ||||||||
\(653\) | −27.0000 | −1.05659 | −0.528296 | − | 0.849060i | \(-0.677169\pi\) | ||||
−0.528296 | + | 0.849060i | \(0.677169\pi\) | |||||||
\(654\) | 3.44831 | 0.134840 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.188090 | 0.00734369 | ||||||||
\(657\) | −20.4243 | −0.796827 | ||||||||
\(658\) | 1.18479 | 0.0461880 | ||||||||
\(659\) | 18.8749 | 0.735263 | 0.367632 | − | 0.929971i | \(-0.380169\pi\) | ||||
0.367632 | + | 0.929971i | \(0.380169\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −30.6117 | −1.19066 | −0.595330 | − | 0.803482i | \(-0.702978\pi\) | ||||
−0.595330 | + | 0.803482i | \(0.702978\pi\) | |||||||
\(662\) | 1.50381 | 0.0584474 | ||||||||
\(663\) | 4.65270 | 0.180696 | ||||||||
\(664\) | −7.12918 | −0.276666 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.00093 | 0.0775346 | ||||||||
\(667\) | 6.09926 | 0.236164 | ||||||||
\(668\) | −28.5286 | −1.10380 | ||||||||
\(669\) | −1.60401 | −0.0620145 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 14.9736 | 0.578049 | ||||||||
\(672\) | 5.63816 | 0.217497 | ||||||||
\(673\) | −11.9094 | −0.459074 | −0.229537 | − | 0.973300i | \(-0.573721\pi\) | ||||
−0.229537 | + | 0.973300i | \(0.573721\pi\) | |||||||
\(674\) | 22.3705 | 0.861680 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −18.3919 | −0.707380 | ||||||||
\(677\) | −5.78106 | −0.222184 | −0.111092 | − | 0.993810i | \(-0.535435\pi\) | ||||
−0.111092 | + | 0.993810i | \(0.535435\pi\) | |||||||
\(678\) | −3.45193 | −0.132571 | ||||||||
\(679\) | 3.42602 | 0.131479 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −7.30129 | −0.279786 | ||||||||
\(682\) | −5.83069 | −0.223269 | ||||||||
\(683\) | −21.0496 | −0.805442 | −0.402721 | − | 0.915323i | \(-0.631935\pi\) | ||||
−0.402721 | + | 0.915323i | \(0.631935\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 17.3004 | 0.660531 | ||||||||
\(687\) | −5.00917 | −0.191112 | ||||||||
\(688\) | 0.201095 | 0.00766668 | ||||||||
\(689\) | 32.3063 | 1.23077 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −32.9377 | −1.25301 | −0.626504 | − | 0.779418i | \(-0.715515\pi\) | ||||
−0.626504 | + | 0.779418i | \(0.715515\pi\) | |||||||
\(692\) | 1.09987 | 0.0418107 | ||||||||
\(693\) | −17.4192 | −0.661701 | ||||||||
\(694\) | 6.77332 | 0.257112 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 5.23585 | 0.198464 | ||||||||
\(697\) | 7.42097 | 0.281089 | ||||||||
\(698\) | −20.0122 | −0.757472 | ||||||||
\(699\) | −12.8690 | −0.486749 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 21.3574 | 0.806658 | 0.403329 | − | 0.915055i | \(-0.367853\pi\) | ||||
0.403329 | + | 0.915055i | \(0.367853\pi\) | |||||||
\(702\) | −14.1530 | −0.534171 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 17.2003 | 0.648260 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.0651 | −0.378805 | ||||||||
\(707\) | −14.8871 | −0.559888 | ||||||||
\(708\) | −7.02229 | −0.263914 | ||||||||
\(709\) | −15.7706 | −0.592278 | −0.296139 | − | 0.955145i | \(-0.595699\pi\) | ||||
−0.296139 | + | 0.955145i | \(0.595699\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 18.9181 | 0.709484 | ||||||||
\(712\) | −6.47834 | −0.242786 | ||||||||
\(713\) | −3.41828 | −0.128016 | ||||||||
\(714\) | −1.45336 | −0.0543908 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 26.1506 | 0.977295 | ||||||||
\(717\) | 12.4115 | 0.463515 | ||||||||
\(718\) | −9.13165 | −0.340790 | ||||||||
\(719\) | −35.3283 | −1.31752 | −0.658762 | − | 0.752352i | \(-0.728919\pi\) | ||||
−0.658762 | + | 0.752352i | \(0.728919\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.0273411 | 0.00101824 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.158385 | −0.00589040 | ||||||||
\(724\) | 19.7487 | 0.733953 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.298600 | 0.0110821 | ||||||||
\(727\) | −40.4216 | −1.49915 | −0.749577 | − | 0.661918i | \(-0.769743\pi\) | ||||
−0.749577 | + | 0.661918i | \(0.769743\pi\) | |||||||
\(728\) | 28.2148 | 1.04571 | ||||||||
\(729\) | −12.8912 | −0.477454 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 7.93407 | 0.293452 | ||||||||
\(732\) | 2.86484 | 0.105887 | ||||||||
\(733\) | 36.2763 | 1.33990 | 0.669948 | − | 0.742408i | \(-0.266316\pi\) | ||||
0.669948 | + | 0.742408i | \(0.266316\pi\) | |||||||
\(734\) | −28.6091 | −1.05598 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9.91622 | 0.365517 | ||||||||
\(737\) | −48.4843 | −1.78594 | ||||||||
\(738\) | −10.7279 | −0.394900 | ||||||||
\(739\) | −20.6759 | −0.760576 | −0.380288 | − | 0.924868i | \(-0.624175\pi\) | ||||
−0.380288 | + | 0.924868i | \(0.624175\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10.0915 | −0.370471 | ||||||||
\(743\) | −6.70409 | −0.245949 | −0.122975 | − | 0.992410i | \(-0.539243\pi\) | ||||
−0.122975 | + | 0.992410i | \(0.539243\pi\) | |||||||
\(744\) | −2.93439 | −0.107580 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 26.8087 | 0.981537 | ||||||||
\(747\) | 6.82613 | 0.249755 | ||||||||
\(748\) | 6.91622 | 0.252882 | ||||||||
\(749\) | 6.68004 | 0.244084 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 10.7074 | 0.390718 | 0.195359 | − | 0.980732i | \(-0.437413\pi\) | ||||
0.195359 | + | 0.980732i | \(0.437413\pi\) | |||||||
\(752\) | 0.0300295 | 0.00109506 | ||||||||
\(753\) | 8.61856 | 0.314078 | ||||||||
\(754\) | 16.1352 | 0.587608 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −7.01279 | −0.255053 | ||||||||
\(757\) | 4.06242 | 0.147651 | 0.0738256 | − | 0.997271i | \(-0.476479\pi\) | ||||
0.0738256 | + | 0.997271i | \(0.476479\pi\) | |||||||
\(758\) | −15.7056 | −0.570454 | ||||||||
\(759\) | 3.19253 | 0.115882 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.0077 | −0.399030 | −0.199515 | − | 0.979895i | \(-0.563937\pi\) | ||||
−0.199515 | + | 0.979895i | \(0.563937\pi\) | |||||||
\(762\) | 0.0472658 | 0.00171226 | ||||||||
\(763\) | 13.8503 | 0.501414 | ||||||||
\(764\) | −23.2439 | −0.840935 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −20.6269 | −0.745280 | ||||||||
\(767\) | −56.9231 | −2.05538 | ||||||||
\(768\) | 8.56717 | 0.309141 | ||||||||
\(769\) | 21.3473 | 0.769803 | 0.384902 | − | 0.922958i | \(-0.374235\pi\) | ||||
0.384902 | + | 0.922958i | \(0.374235\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.17024 | 0.294244 | ||||||||
\(772\) | 15.8262 | 0.569599 | ||||||||
\(773\) | −17.9172 | −0.644435 | −0.322218 | − | 0.946666i | \(-0.604428\pi\) | ||||
−0.322218 | + | 0.946666i | \(0.604428\pi\) | |||||||
\(774\) | −11.4697 | −0.412269 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 5.17261 | 0.185686 | ||||||||
\(777\) | −0.837496 | −0.0300450 | ||||||||
\(778\) | −3.43788 | −0.123254 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −46.9377 | −1.67956 | ||||||||
\(782\) | −2.55613 | −0.0914071 | ||||||||
\(783\) | −10.5490 | −0.376991 | ||||||||
\(784\) | 0.145268 | 0.00518813 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −1.42097 | −0.0506843 | ||||||||
\(787\) | −48.8316 | −1.74066 | −0.870330 | − | 0.492470i | \(-0.836094\pi\) | ||||
−0.870330 | + | 0.492470i | \(0.836094\pi\) | |||||||
\(788\) | −28.4593 | −1.01382 | ||||||||
\(789\) | 5.13104 | 0.182670 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −13.8648 | −0.492977 | ||||||||
\(792\) | −26.2995 | −0.934513 | ||||||||
\(793\) | 23.2226 | 0.824657 | ||||||||
\(794\) | 7.87845 | 0.279596 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −11.3120 | −0.400943 | ||||||||
\(797\) | 28.5262 | 1.01045 | 0.505225 | − | 0.862988i | \(-0.331409\pi\) | ||||
0.505225 | + | 0.862988i | \(0.331409\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.18479 | 0.0419149 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.20296 | 0.219171 | ||||||||
\(802\) | 1.78281 | 0.0629533 | ||||||||
\(803\) | 25.6459 | 0.905024 | ||||||||
\(804\) | −9.27631 | −0.327150 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −9.04282 | −0.318520 | ||||||||
\(807\) | 9.72605 | 0.342373 | ||||||||
\(808\) | −22.4766 | −0.790724 | ||||||||
\(809\) | −14.8367 | −0.521630 | −0.260815 | − | 0.965389i | \(-0.583991\pi\) | ||||
−0.260815 | + | 0.965389i | \(0.583991\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.37733 | −0.294168 | −0.147084 | − | 0.989124i | \(-0.546989\pi\) | ||||
−0.147084 | + | 0.989124i | \(0.546989\pi\) | |||||||
\(812\) | 7.99495 | 0.280568 | ||||||||
\(813\) | −10.0906 | −0.353892 | ||||||||
\(814\) | −2.51249 | −0.0880627 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −0.0368366 | −0.00128954 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 28.3233 | 0.990299 | ||||||||
\(819\) | −27.0155 | −0.943997 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 6.27900 | 0.219139 | 0.109569 | − | 0.993979i | \(-0.465053\pi\) | ||||
0.109569 | + | 0.993979i | \(0.465053\pi\) | |||||||
\(822\) | −9.14290 | −0.318895 | ||||||||
\(823\) | −11.0264 | −0.384356 | −0.192178 | − | 0.981360i | \(-0.561555\pi\) | ||||
−0.192178 | + | 0.981360i | \(0.561555\pi\) | |||||||
\(824\) | 0.0412797 | 0.00143805 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 17.7811 | 0.618682 | ||||||||
\(827\) | −33.9358 | −1.18006 | −0.590032 | − | 0.807380i | \(-0.700885\pi\) | ||||
−0.590032 | + | 0.807380i | \(0.700885\pi\) | |||||||
\(828\) | −5.86154 | −0.203703 | ||||||||
\(829\) | −20.3669 | −0.707372 | −0.353686 | − | 0.935364i | \(-0.615072\pi\) | ||||
−0.353686 | + | 0.935364i | \(0.615072\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 7.32358 | 0.254052 | ||||||||
\(832\) | 26.6759 | 0.924821 | ||||||||
\(833\) | 5.73143 | 0.198582 | ||||||||
\(834\) | 7.20439 | 0.249468 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 5.91210 | 0.204352 | ||||||||
\(838\) | 20.4456 | 0.706282 | ||||||||
\(839\) | 15.8093 | 0.545799 | 0.272899 | − | 0.962043i | \(-0.412017\pi\) | ||||
0.272899 | + | 0.962043i | \(0.412017\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16.9736 | −0.585296 | ||||||||
\(842\) | −5.67499 | −0.195573 | ||||||||
\(843\) | −6.97628 | −0.240276 | ||||||||
\(844\) | −17.9385 | −0.617469 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −1.71276 | −0.0588860 | ||||||||
\(847\) | 1.19934 | 0.0412098 | ||||||||
\(848\) | −0.255777 | −0.00878343 | ||||||||
\(849\) | −9.24628 | −0.317332 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1.47296 | −0.0504925 | ||||||||
\(852\) | −8.98040 | −0.307663 | ||||||||
\(853\) | 52.6492 | 1.80267 | 0.901337 | − | 0.433118i | \(-0.142587\pi\) | ||||
0.901337 | + | 0.433118i | \(0.142587\pi\) | |||||||
\(854\) | −7.25402 | −0.248228 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.0855 | 0.344716 | ||||||||
\(857\) | 23.0273 | 0.786599 | 0.393299 | − | 0.919410i | \(-0.371334\pi\) | ||||
0.393299 | + | 0.919410i | \(0.371334\pi\) | |||||||
\(858\) | 8.44562 | 0.288329 | ||||||||
\(859\) | 8.90941 | 0.303985 | 0.151993 | − | 0.988382i | \(-0.451431\pi\) | ||||
0.151993 | + | 0.988382i | \(0.451431\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 4.49020 | 0.153026 | ||||||||
\(862\) | 12.3090 | 0.419247 | ||||||||
\(863\) | −29.7698 | −1.01338 | −0.506688 | − | 0.862129i | \(-0.669130\pi\) | ||||
−0.506688 | + | 0.862129i | \(0.669130\pi\) | |||||||
\(864\) | −17.1506 | −0.583477 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −25.2321 | −0.857420 | ||||||||
\(867\) | 7.59215 | 0.257843 | ||||||||
\(868\) | −4.48070 | −0.152085 | ||||||||
\(869\) | −23.7547 | −0.805821 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −75.1944 | −2.54787 | ||||||||
\(872\) | 20.9112 | 0.708142 | ||||||||
\(873\) | −4.95273 | −0.167625 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.90673 | 0.165783 | ||||||||
\(877\) | 25.0300 | 0.845204 | 0.422602 | − | 0.906315i | \(-0.361117\pi\) | ||||
0.422602 | + | 0.906315i | \(0.361117\pi\) | |||||||
\(878\) | 11.7330 | 0.395969 | ||||||||
\(879\) | 8.30272 | 0.280044 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 20.3960 | 0.687158 | 0.343579 | − | 0.939124i | \(-0.388361\pi\) | ||||
0.343579 | + | 0.939124i | \(0.388361\pi\) | |||||||
\(882\) | −8.28548 | −0.278987 | ||||||||
\(883\) | 10.6281 | 0.357662 | 0.178831 | − | 0.983880i | \(-0.442768\pi\) | ||||
0.178831 | + | 0.983880i | \(0.442768\pi\) | |||||||
\(884\) | 10.7264 | 0.360767 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 29.7962 | 1.00102 | ||||||||
\(887\) | 56.3387 | 1.89167 | 0.945835 | − | 0.324648i | \(-0.105246\pi\) | ||||
0.945835 | + | 0.324648i | \(0.105246\pi\) | |||||||
\(888\) | −1.26445 | −0.0424322 | ||||||||
\(889\) | 0.189845 | 0.00636720 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 22.2841 | 0.746544 | ||||||||
\(892\) | −3.69789 | −0.123815 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −1.76239 | −0.0589432 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 12.8598 | 0.429615 | ||||||||
\(897\) | 4.95130 | 0.165319 | ||||||||
\(898\) | −16.5678 | −0.552874 | ||||||||
\(899\) | −6.74010 | −0.224795 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −10.0915 | −0.336197 | ||||||||
\(902\) | 13.4706 | 0.448522 | ||||||||
\(903\) | 4.80066 | 0.159756 | ||||||||
\(904\) | −20.9331 | −0.696226 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −6.82976 | −0.226903 | ||||||||
\(907\) | 5.92364 | 0.196691 | 0.0983456 | − | 0.995152i | \(-0.468645\pi\) | ||||
0.0983456 | + | 0.995152i | \(0.468645\pi\) | |||||||
\(908\) | −16.8324 | −0.558604 | ||||||||
\(909\) | 21.5212 | 0.713812 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −34.0591 | −1.12843 | −0.564215 | − | 0.825628i | \(-0.690821\pi\) | ||||
−0.564215 | + | 0.825628i | \(0.690821\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.57129 | −0.283668 | ||||||||
\(914\) | 12.5567 | 0.415340 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −11.5482 | −0.381563 | ||||||||
\(917\) | −5.70739 | −0.188474 | ||||||||
\(918\) | 4.42097 | 0.145914 | ||||||||
\(919\) | −6.27395 | −0.206958 | −0.103479 | − | 0.994632i | \(-0.532998\pi\) | ||||
−0.103479 | + | 0.994632i | \(0.532998\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 11.4507 | 0.377313 | ||||||||
\(922\) | 12.2481 | 0.403371 | ||||||||
\(923\) | −72.7957 | −2.39610 | ||||||||
\(924\) | 4.18479 | 0.137670 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −1.55026 | −0.0509447 | ||||||||
\(927\) | −0.0395250 | −0.00129817 | ||||||||
\(928\) | 19.5526 | 0.641846 | ||||||||
\(929\) | 28.3233 | 0.929256 | 0.464628 | − | 0.885506i | \(-0.346188\pi\) | ||||
0.464628 | + | 0.885506i | \(0.346188\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −29.6682 | −0.971814 | ||||||||
\(933\) | −7.71276 | −0.252505 | ||||||||
\(934\) | 19.3833 | 0.634241 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −40.7880 | −1.33320 | ||||||||
\(937\) | 20.0719 | 0.655721 | 0.327860 | − | 0.944726i | \(-0.393672\pi\) | ||||
0.327860 | + | 0.944726i | \(0.393672\pi\) | |||||||
\(938\) | 23.4884 | 0.766925 | ||||||||
\(939\) | 10.3856 | 0.338920 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 5.39517 | 0.175878 | 0.0879388 | − | 0.996126i | \(-0.471972\pi\) | ||||
0.0879388 | + | 0.996126i | \(0.471972\pi\) | |||||||
\(942\) | 4.85441 | 0.158165 | ||||||||
\(943\) | 7.89723 | 0.257169 | ||||||||
\(944\) | 0.450675 | 0.0146682 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 14.4020 | 0.468249 | ||||||||
\(947\) | −6.64321 | −0.215875 | −0.107938 | − | 0.994158i | \(-0.534425\pi\) | ||||
−0.107938 | + | 0.994158i | \(0.534425\pi\) | |||||||
\(948\) | −4.54488 | −0.147611 | ||||||||
\(949\) | 39.7743 | 1.29113 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 15.0833 | 0.489109 | ||||||||
\(952\) | −8.81345 | −0.285646 | ||||||||
\(953\) | 14.8239 | 0.480193 | 0.240096 | − | 0.970749i | \(-0.422821\pi\) | ||||
0.240096 | + | 0.970749i | \(0.422821\pi\) | |||||||
\(954\) | 14.5885 | 0.472321 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 28.6135 | 0.925427 | ||||||||
\(957\) | 6.29498 | 0.203488 | ||||||||
\(958\) | 22.3865 | 0.723275 | ||||||||
\(959\) | −36.7229 | −1.18584 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.2226 | −0.878147 | ||||||||
\(962\) | −3.89662 | −0.125632 | ||||||||
\(963\) | −9.65682 | −0.311187 | ||||||||
\(964\) | −0.365142 | −0.0117604 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −1.54664 | −0.0497622 | ||||||||
\(967\) | −21.2216 | −0.682442 | −0.341221 | − | 0.939983i | \(-0.610840\pi\) | ||||
−0.341221 | + | 0.939983i | \(0.610840\pi\) | |||||||
\(968\) | 1.81076 | 0.0582002 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −37.6067 | −1.20686 | −0.603428 | − | 0.797417i | \(-0.706199\pi\) | ||||
−0.603428 | + | 0.797417i | \(0.706199\pi\) | |||||||
\(972\) | 15.4578 | 0.495809 | ||||||||
\(973\) | 28.9368 | 0.927670 | ||||||||
\(974\) | −19.7956 | −0.634292 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.183859 | −0.00588518 | ||||||||
\(977\) | 46.0215 | 1.47236 | 0.736179 | − | 0.676787i | \(-0.236628\pi\) | ||||
0.736179 | + | 0.676787i | \(0.236628\pi\) | |||||||
\(978\) | 0.946251 | 0.0302578 | ||||||||
\(979\) | −7.78880 | −0.248931 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −20.0223 | −0.639262 | ||||||||
\(982\) | −13.7483 | −0.438727 | ||||||||
\(983\) | −60.5964 | −1.93272 | −0.966362 | − | 0.257185i | \(-0.917205\pi\) | ||||
−0.966362 | + | 0.257185i | \(0.917205\pi\) | |||||||
\(984\) | 6.77930 | 0.216116 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −5.04013 | −0.160511 | ||||||||
\(987\) | 0.716881 | 0.0228186 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.44326 | 0.268480 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 41.8982 | 1.33094 | 0.665470 | − | 0.746425i | \(-0.268231\pi\) | ||||
0.665470 | + | 0.746425i | \(0.268231\pi\) | |||||||
\(992\) | −10.9581 | −0.347920 | ||||||||
\(993\) | 0.909912 | 0.0288752 | ||||||||
\(994\) | 22.7392 | 0.721243 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −1.63991 | −0.0519626 | ||||||||
\(997\) | −33.7151 | −1.06777 | −0.533884 | − | 0.845557i | \(-0.679268\pi\) | ||||
−0.533884 | + | 0.845557i | \(0.679268\pi\) | |||||||
\(998\) | 25.1652 | 0.796590 | ||||||||
\(999\) | 2.54757 | 0.0806016 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))