Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [8624,2,Mod(1,8624)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(8624, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 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("8624.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 8624 = 2^{4} \cdot 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8624.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: | \(68.8629867032\) |
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: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 77) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(-0.347296\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 8624.1 |
$q$-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 | ||||||||
\(3\) | 0.652704 | 0.376839 | 0.188419 | − | 0.982089i | \(-0.439664\pi\) | ||||
0.188419 | + | 0.982089i | \(0.439664\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.53209 | −1.57960 | −0.789799 | − | 0.613366i | \(-0.789815\pi\) | ||||
−0.789799 | + | 0.613366i | \(0.789815\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.57398 | −0.857993 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.41147 | −1.22352 | −0.611761 | − | 0.791042i | \(-0.709539\pi\) | ||||
−0.611761 | + | 0.791042i | \(0.709539\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.30541 | −0.595254 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.24897 | 1.27306 | 0.636531 | − | 0.771251i | \(-0.280369\pi\) | ||||
0.636531 | + | 0.771251i | \(0.280369\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.81521 | 0.416437 | 0.208219 | − | 0.978082i | \(-0.433233\pi\) | ||||
0.208219 | + | 0.978082i | \(0.433233\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.33275 | 1.32047 | 0.660235 | − | 0.751059i | \(-0.270457\pi\) | ||||
0.660235 | + | 0.751059i | \(0.270457\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.47565 | 1.49513 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.63816 | −0.700163 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.92127 | 0.356772 | 0.178386 | − | 0.983961i | \(-0.442912\pi\) | ||||
0.178386 | + | 0.983961i | \(0.442912\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.46791 | 0.263645 | 0.131822 | − | 0.991273i | \(-0.457917\pi\) | ||||
0.131822 | + | 0.991273i | \(0.457917\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.652704 | −0.113621 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.45336 | 0.732128 | 0.366064 | − | 0.930590i | \(-0.380705\pi\) | ||||
0.366064 | + | 0.930590i | \(0.380705\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.87939 | −0.461071 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.283119 | −0.0442157 | −0.0221078 | − | 0.999756i | \(-0.507038\pi\) | ||||
−0.0221078 | + | 0.999756i | \(0.507038\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.41147 | 0.520245 | 0.260122 | − | 0.965576i | \(-0.416237\pi\) | ||||
0.260122 | + | 0.965576i | \(0.416237\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 9.09152 | 1.35528 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.55438 | −0.664324 | −0.332162 | − | 0.943222i | \(-0.607778\pi\) | ||||
−0.332162 | + | 0.943222i | \(0.607778\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.42602 | 0.479739 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −7.23442 | −0.993724 | −0.496862 | − | 0.867829i | \(-0.665515\pi\) | ||||
−0.496862 | + | 0.867829i | \(0.665515\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.53209 | 0.476267 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.18479 | 0.156930 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 9.53983 | 1.24198 | 0.620990 | − | 0.783818i | \(-0.286731\pi\) | ||||
0.620990 | + | 0.783818i | \(0.286731\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.14796 | 0.146981 | 0.0734903 | − | 0.997296i | \(-0.476586\pi\) | ||||
0.0734903 | + | 0.997296i | \(0.476586\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 15.5817 | 1.93267 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.694593 | 0.0848580 | 0.0424290 | − | 0.999099i | \(-0.486490\pi\) | ||||
0.0424290 | + | 0.999099i | \(0.486490\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 4.13341 | 0.497604 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.46110 | −1.12283 | −0.561413 | − | 0.827536i | \(-0.689742\pi\) | ||||
−0.561413 | + | 0.827536i | \(0.689742\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.34730 | −0.274730 | −0.137365 | − | 0.990520i | \(-0.543863\pi\) | ||||
−0.137365 | + | 0.990520i | \(0.543863\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 4.87939 | 0.563423 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.4192 | 1.39727 | 0.698635 | − | 0.715478i | \(-0.253791\pi\) | ||||
0.698635 | + | 0.715478i | \(0.253791\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.34730 | 0.594144 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −11.3327 | −1.24393 | −0.621965 | − | 0.783045i | \(-0.713666\pi\) | ||||
−0.621965 | + | 0.783045i | \(0.713666\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −18.5398 | −2.01093 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.25402 | 0.134445 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.46791 | 0.367598 | 0.183799 | − | 0.982964i | \(-0.441160\pi\) | ||||
0.183799 | + | 0.982964i | \(0.441160\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.958111 | 0.0993515 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −6.41147 | −0.657803 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −15.3473 | −1.55828 | −0.779141 | − | 0.626849i | \(-0.784344\pi\) | ||||
−0.779141 | + | 0.626849i | \(0.784344\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.57398 | 0.258695 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.70233 | −0.666907 | −0.333454 | − | 0.942767i | \(-0.608214\pi\) | ||||
−0.333454 | + | 0.942767i | \(0.608214\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.24897 | 0.221598 | 0.110799 | − | 0.993843i | \(-0.464659\pi\) | ||||
0.110799 | + | 0.993843i | \(0.464659\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 11.5321 | 1.11485 | 0.557425 | − | 0.830228i | \(-0.311790\pi\) | ||||
0.557425 | + | 0.830228i | \(0.311790\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.9855 | −1.14800 | −0.573999 | − | 0.818856i | \(-0.694609\pi\) | ||||
−0.573999 | + | 0.818856i | \(0.694609\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.90673 | 0.275894 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.00774 | 0.471089 | 0.235544 | − | 0.971864i | \(-0.424313\pi\) | ||||
0.235544 | + | 0.971864i | \(0.424313\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −22.3678 | −2.08581 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 11.3550 | 1.04977 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.184793 | −0.0166622 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.74422 | −0.782107 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 14.2344 | 1.26310 | 0.631550 | − | 0.775335i | \(-0.282419\pi\) | ||||
0.631550 | + | 0.775335i | \(0.282419\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.22668 | 0.196048 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.11381 | 0.446795 | 0.223398 | − | 0.974727i | \(-0.428285\pi\) | ||||
0.223398 | + | 0.974727i | \(0.428285\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 12.8503 | 1.10598 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 19.7074 | 1.68372 | 0.841858 | − | 0.539699i | \(-0.181462\pi\) | ||||
0.841858 | + | 0.539699i | \(0.181462\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.28581 | −0.448336 | −0.224168 | − | 0.974550i | \(-0.571966\pi\) | ||||
−0.224168 | + | 0.974550i | \(0.571966\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.97266 | −0.250343 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 4.41147 | 0.368906 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.78611 | −0.563556 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −17.0155 | −1.39396 | −0.696981 | − | 0.717089i | \(-0.745474\pi\) | ||||
−0.696981 | + | 0.717089i | \(0.745474\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.30272 | −0.106014 | −0.0530069 | − | 0.998594i | \(-0.516881\pi\) | ||||
−0.0530069 | + | 0.998594i | \(0.516881\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −13.5107 | −1.09228 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.18479 | −0.416453 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.6946 | −1.09295 | −0.546474 | − | 0.837476i | \(-0.684030\pi\) | ||||
−0.546474 | + | 0.837476i | \(0.684030\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −4.72193 | −0.374474 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −16.4047 | −1.28491 | −0.642456 | − | 0.766322i | \(-0.722085\pi\) | ||||
−0.642456 | + | 0.766322i | \(0.722085\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.30541 | 0.179476 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −8.24628 | −0.638116 | −0.319058 | − | 0.947735i | \(-0.603367\pi\) | ||||
−0.319058 | + | 0.947735i | \(0.603367\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.46110 | 0.497008 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.67230 | −0.357300 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −19.2344 | −1.46237 | −0.731183 | − | 0.682181i | \(-0.761031\pi\) | ||||
−0.731183 | + | 0.682181i | \(0.761031\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 6.22668 | 0.468026 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.32770 | 0.0992367 | 0.0496183 | − | 0.998768i | \(-0.484200\pi\) | ||||
0.0496183 | + | 0.998768i | \(0.484200\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −17.6527 | −1.31212 | −0.656058 | − | 0.754711i | \(-0.727777\pi\) | ||||
−0.656058 | + | 0.754711i | \(0.727777\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.749275 | 0.0553880 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −15.7297 | −1.15647 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.24897 | −0.383843 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −15.5526 | −1.12535 | −0.562674 | − | 0.826679i | \(-0.690227\pi\) | ||||
−0.562674 | + | 0.826679i | \(0.690227\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.21894 | −0.375668 | −0.187834 | − | 0.982201i | \(-0.560147\pi\) | ||||
−0.187834 | + | 0.982201i | \(0.560147\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 10.1702 | 0.728306 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −4.61856 | −0.329058 | −0.164529 | − | 0.986372i | \(-0.552610\pi\) | ||||
−0.164529 | + | 0.986372i | \(0.552610\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.04963 | −0.428847 | −0.214423 | − | 0.976741i | \(-0.568787\pi\) | ||||
−0.214423 | + | 0.976741i | \(0.568787\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.453363 | 0.0319778 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.00000 | 0.0698430 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −16.3004 | −1.13295 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.81521 | −0.125561 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.69459 | −0.598560 | −0.299280 | − | 0.954165i | \(-0.596747\pi\) | ||||
−0.299280 | + | 0.954165i | \(0.596747\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −6.17530 | −0.423124 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −12.0496 | −0.821778 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.53209 | −0.103529 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −23.1557 | −1.55762 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.221629 | −0.0148414 | −0.00742069 | − | 0.999972i | \(-0.502362\pi\) | ||||
−0.00742069 | + | 0.999972i | \(0.502362\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −19.2422 | −1.28281 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −9.69965 | −0.643788 | −0.321894 | − | 0.946776i | \(-0.604319\pi\) | ||||
−0.321894 | + | 0.946776i | \(0.604319\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −23.6946 | −1.56578 | −0.782891 | − | 0.622158i | \(-0.786256\pi\) | ||||
−0.782891 | + | 0.622158i | \(0.786256\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 20.8871 | 1.36836 | 0.684181 | − | 0.729313i | \(-0.260160\pi\) | ||||
0.684181 | + | 0.729313i | \(0.260160\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 16.0865 | 1.04937 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 8.10607 | 0.526546 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.0300 | −0.972212 | −0.486106 | − | 0.873900i | \(-0.661583\pi\) | ||||
−0.486106 | + | 0.873900i | \(0.661583\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −29.5398 | −1.90283 | −0.951414 | − | 0.307915i | \(-0.900369\pi\) | ||||
−0.951414 | + | 0.307915i | \(0.900369\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 14.4047 | 0.924060 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.00774 | −0.509520 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −7.39693 | −0.468761 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.77063 | 0.238000 | 0.119000 | − | 0.992894i | \(-0.462031\pi\) | ||||
0.119000 | + | 0.992894i | \(0.462031\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.33275 | −0.398136 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −12.1010 | −0.757795 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 8.66044 | 0.540224 | 0.270112 | − | 0.962829i | \(-0.412939\pi\) | ||||
0.270112 | + | 0.962829i | \(0.412939\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.94532 | −0.306107 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 5.83481 | 0.359790 | 0.179895 | − | 0.983686i | \(-0.442424\pi\) | ||||
0.179895 | + | 0.983686i | \(0.442424\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 25.5526 | 1.56969 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.26352 | 0.138525 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 21.9813 | 1.34023 | 0.670113 | − | 0.742259i | \(-0.266246\pi\) | ||||
0.670113 | + | 0.742259i | \(0.266246\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 9.85204 | 0.598469 | 0.299235 | − | 0.954180i | \(-0.403269\pi\) | ||||
0.299235 | + | 0.954180i | \(0.403269\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −7.47565 | −0.450799 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 23.6391 | 1.42034 | 0.710168 | − | 0.704033i | \(-0.248619\pi\) | ||||
0.710168 | + | 0.704033i | \(0.248619\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −3.77837 | −0.226205 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 16.2713 | 0.970662 | 0.485331 | − | 0.874331i | \(-0.338699\pi\) | ||||
0.485331 | + | 0.874331i | \(0.338699\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 16.9982 | 1.01044 | 0.505220 | − | 0.862990i | \(-0.331411\pi\) | ||||
0.505220 | + | 0.862990i | \(0.331411\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −4.18479 | −0.247886 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10.5517 | 0.620688 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −10.0172 | −0.587221 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 13.7784 | 0.804941 | 0.402471 | − | 0.915433i | \(-0.368152\pi\) | ||||
0.402471 | + | 0.915433i | \(0.368152\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −33.6955 | −1.96183 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.63816 | 0.211107 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −27.9368 | −1.61562 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.37464 | −0.251316 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −4.05468 | −0.232170 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.6159 | −0.662953 | −0.331476 | − | 0.943464i | \(-0.607547\pi\) | ||||
−0.331476 | + | 0.943464i | \(0.607547\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.46791 | 0.0835065 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.44831 | 0.195536 | 0.0977679 | − | 0.995209i | \(-0.468830\pi\) | ||||
0.0977679 | + | 0.995209i | \(0.468830\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 19.4219 | 1.09779 | 0.548895 | − | 0.835891i | \(-0.315049\pi\) | ||||
0.548895 | + | 0.835891i | \(0.315049\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −32.8161 | −1.84314 | −0.921569 | − | 0.388214i | \(-0.873092\pi\) | ||||
−0.921569 | + | 0.388214i | \(0.873092\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.92127 | −0.107571 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 7.52704 | 0.420118 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 9.52797 | 0.530150 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −32.9786 | −1.82933 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −7.82295 | −0.432610 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.36009 | 0.349582 | 0.174791 | − | 0.984606i | \(-0.444075\pi\) | ||||
0.174791 | + | 0.984606i | \(0.444075\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −11.4629 | −0.628161 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.45336 | −0.134042 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.5449 | −0.846784 | −0.423392 | − | 0.905947i | \(-0.639161\pi\) | ||||
−0.423392 | + | 0.905947i | \(0.639161\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.26857 | 0.177524 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.46791 | −0.0794918 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −14.5996 | −0.786014 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 19.7246 | 1.05887 | 0.529437 | − | 0.848350i | \(-0.322403\pi\) | ||||
0.529437 | + | 0.848350i | \(0.322403\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.79385 | 0.310138 | 0.155069 | − | 0.987904i | \(-0.450440\pi\) | ||||
0.155069 | + | 0.987904i | \(0.450440\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 16.0496 | 0.856666 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −33.1661 | −1.76525 | −0.882627 | − | 0.470073i | \(-0.844227\pi\) | ||||
−0.882627 | + | 0.470073i | \(0.844227\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 33.4175 | 1.77361 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −4.20977 | −0.222183 | −0.111092 | − | 0.993810i | \(-0.535435\pi\) | ||||
−0.111092 | + | 0.993810i | \(0.535435\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.7050 | −0.826580 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.652704 | 0.0342581 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.29086 | 0.433963 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −19.4388 | −1.01470 | −0.507349 | − | 0.861741i | \(-0.669374\pi\) | ||||
−0.507349 | + | 0.861741i | \(0.669374\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.728741 | 0.0379367 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.7142 | 0.658316 | 0.329158 | − | 0.944275i | \(-0.393235\pi\) | ||||
0.329158 | + | 0.944275i | \(0.393235\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.70739 | −0.294728 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −8.47565 | −0.436518 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.8111 | 1.17173 | 0.585863 | − | 0.810410i | \(-0.300755\pi\) | ||||
0.585863 | + | 0.810410i | \(0.300755\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.29086 | 0.475985 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 8.29860 | 0.424039 | 0.212019 | − | 0.977265i | \(-0.431996\pi\) | ||||
0.212019 | + | 0.977265i | \(0.431996\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −8.78106 | −0.446366 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 11.3996 | 0.577983 | 0.288992 | − | 0.957332i | \(-0.406680\pi\) | ||||
0.288992 | + | 0.957332i | \(0.406680\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 33.2404 | 1.68104 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.33780 | 0.168370 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −43.8658 | −2.20713 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.58172 | −0.330327 | −0.165163 | − | 0.986266i | \(-0.552815\pi\) | ||||
−0.165163 | + | 0.986266i | \(0.552815\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 4.18984 | 0.209231 | 0.104615 | − | 0.994513i | \(-0.466639\pi\) | ||||
0.104615 | + | 0.994513i | \(0.466639\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.47565 | −0.322575 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −18.8871 | −0.938509 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.45336 | −0.220745 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.773318 | −0.0382381 | −0.0191191 | − | 0.999817i | \(-0.506086\pi\) | ||||
−0.0191191 | + | 0.999817i | \(0.506086\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 12.8631 | 0.634489 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 40.0283 | 1.96491 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −3.45007 | −0.168950 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 13.7547 | 0.671959 | 0.335979 | − | 0.941869i | \(-0.390933\pi\) | ||||
0.335979 | + | 0.941869i | \(0.390933\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.80571 | −0.282953 | −0.141477 | − | 0.989942i | \(-0.545185\pi\) | ||||
−0.141477 | + | 0.989942i | \(0.545185\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 11.7229 | 0.569985 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 39.2395 | 1.90339 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 2.87939 | 0.139018 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 18.0060 | 0.867318 | 0.433659 | − | 0.901077i | \(-0.357222\pi\) | ||||
0.433659 | + | 0.901077i | \(0.357222\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.34049 | −0.112477 | −0.0562384 | − | 0.998417i | \(-0.517911\pi\) | ||||
−0.0562384 | + | 0.998417i | \(0.517911\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.42932 | −0.212370 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 11.4953 | 0.549892 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −40.0333 | −1.91069 | −0.955343 | − | 0.295498i | \(-0.904514\pi\) | ||||
−0.955343 | + | 0.295498i | \(0.904514\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −18.9760 | −0.901575 | −0.450787 | − | 0.892631i | \(-0.648857\pi\) | ||||
−0.450787 | + | 0.892631i | \(0.648857\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.2490 | −0.580657 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −11.1061 | −0.525299 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −31.5371 | −1.48833 | −0.744165 | − | 0.667996i | \(-0.767152\pi\) | ||||
−0.744165 | + | 0.667996i | \(0.767152\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.283119 | 0.0133315 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.850289 | −0.0399501 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.6186 | 0.543493 | 0.271747 | − | 0.962369i | \(-0.412399\pi\) | ||||
0.271747 | + | 0.962369i | \(0.412399\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −19.0966 | −0.891352 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 12.9786 | 0.604476 | 0.302238 | − | 0.953233i | \(-0.402266\pi\) | ||||
0.302238 | + | 0.953233i | \(0.402266\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −35.3705 | −1.64381 | −0.821904 | − | 0.569626i | \(-0.807088\pi\) | ||||
−0.821904 | + | 0.569626i | \(0.807088\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.38413 | −0.156935 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −39.8658 | −1.84477 | −0.922384 | − | 0.386274i | \(-0.873762\pi\) | ||||
−0.922384 | + | 0.386274i | \(0.873762\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −8.93851 | −0.411865 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.41147 | −0.156860 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 13.5699 | 0.622628 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 18.6212 | 0.852608 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −30.3800 | −1.38810 | −0.694049 | − | 0.719928i | \(-0.744175\pi\) | ||||
−0.694049 | + | 0.719928i | \(0.744175\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −19.6459 | −0.895776 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 54.2080 | 2.46146 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.4311 | 0.472677 | 0.236339 | − | 0.971671i | \(-0.424053\pi\) | ||||
0.236339 | + | 0.971671i | \(0.424053\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −10.7074 | −0.484205 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 10.2763 | 0.463763 | 0.231882 | − | 0.972744i | \(-0.425512\pi\) | ||||
0.231882 | + | 0.972744i | \(0.425512\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.0847 | 0.454193 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −9.09152 | −0.408633 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 36.5185 | 1.63479 | 0.817396 | − | 0.576077i | \(-0.195417\pi\) | ||||
0.817396 | + | 0.576077i | \(0.195417\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.38238 | −0.240467 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −31.3628 | −1.39840 | −0.699199 | − | 0.714928i | \(-0.746460\pi\) | ||||
−0.699199 | + | 0.714928i | \(0.746460\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 23.6732 | 1.05345 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 4.21719 | 0.187292 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 11.5645 | 0.512587 | 0.256293 | − | 0.966599i | \(-0.417499\pi\) | ||||
0.256293 | + | 0.966599i | \(0.417499\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −6.60401 | −0.291574 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −7.94356 | −0.350035 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.55438 | 0.200301 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −12.5544 | −0.551076 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 30.5604 | 1.33887 | 0.669437 | − | 0.742869i | \(-0.266535\pi\) | ||||
0.669437 | + | 0.742869i | \(0.266535\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.45512 | −0.194809 | −0.0974044 | − | 0.995245i | \(-0.531054\pi\) | ||||
−0.0974044 | + | 0.995245i | \(0.531054\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 7.70502 | 0.335636 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.1037 | 0.743639 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −24.5553 | −1.06561 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.24897 | 0.0540989 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −40.7324 | −1.76101 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.866592 | 0.0373962 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.6705 | −0.716723 | −0.358361 | − | 0.933583i | \(-0.616664\pi\) | ||||
−0.358361 | + | 0.933583i | \(0.616664\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −11.5220 | −0.494456 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 42.3337 | 1.81338 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −36.2080 | −1.54814 | −0.774071 | − | 0.633098i | \(-0.781783\pi\) | ||||
−0.774071 | + | 0.633098i | \(0.781783\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.95481 | −0.126108 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.48751 | 0.148573 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −10.2668 | −0.435802 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.669940 | −0.0283863 | −0.0141931 | − | 0.999899i | \(-0.504518\pi\) | ||||
−0.0141931 | + | 0.999899i | \(0.504518\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −15.0496 | −0.636532 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.42602 | −0.144647 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −13.0341 | −0.549324 | −0.274662 | − | 0.961541i | \(-0.588566\pi\) | ||||
−0.274662 | + | 0.961541i | \(0.588566\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −17.6878 | −0.744131 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 27.4415 | 1.15041 | 0.575204 | − | 0.818010i | \(-0.304923\pi\) | ||||
0.575204 | + | 0.818010i | \(0.304923\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.2395 | −0.679601 | −0.339800 | − | 0.940498i | \(-0.610360\pi\) | ||||
−0.339800 | + | 0.940498i | \(0.610360\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −10.1513 | −0.424075 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 47.3414 | 1.97427 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −23.7178 | −0.987386 | −0.493693 | − | 0.869636i | \(-0.664353\pi\) | ||||
−0.493693 | + | 0.869636i | \(0.664353\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −3.40642 | −0.141566 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.23442 | 0.299619 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −40.1070 | −1.65822 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −44.5904 | −1.84044 | −0.920221 | − | 0.391399i | \(-0.871991\pi\) | ||||
−0.920221 | + | 0.391399i | \(0.871991\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.66456 | 0.109791 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.01455 | −0.124002 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 42.8435 | 1.75937 | 0.879685 | − | 0.475556i | \(-0.157753\pi\) | ||||
0.879685 | + | 0.475556i | \(0.157753\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −3.94862 | −0.161606 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 0.633103 | 0.0258679 | 0.0129339 | − | 0.999916i | \(-0.495883\pi\) | ||||
0.0129339 | + | 0.999916i | \(0.495883\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.45842 | 0.141072 | 0.0705359 | − | 0.997509i | \(-0.477529\pi\) | ||||
0.0705359 | + | 0.997509i | \(0.477529\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.78787 | −0.0728075 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −3.53209 | −0.143600 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 48.2749 | 1.95942 | 0.979708 | − | 0.200428i | \(-0.0642332\pi\) | ||||
0.979708 | + | 0.200428i | \(0.0642332\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 20.0915 | 0.812816 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −21.3155 | −0.860925 | −0.430463 | − | 0.902608i | \(-0.641650\pi\) | ||||
−0.430463 | + | 0.902608i | \(0.641650\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.652704 | 0.0263196 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −12.4243 | −0.500182 | −0.250091 | − | 0.968222i | \(-0.580461\pi\) | ||||
−0.250091 | + | 0.968222i | \(0.580461\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 36.3405 | 1.46065 | 0.730324 | − | 0.683101i | \(-0.239369\pi\) | ||||
0.730324 | + | 0.683101i | \(0.239369\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −23.0395 | −0.924544 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.49289 | −0.259716 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.18479 | −0.0473161 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 23.3756 | 0.932045 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.9195 | −0.633746 | −0.316873 | − | 0.948468i | \(-0.602633\pi\) | ||||
−0.316873 | + | 0.948468i | \(0.602633\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −5.67499 | −0.225561 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −50.2772 | −1.99519 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 24.3527 | 0.963377 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −12.4739 | −0.492689 | −0.246345 | − | 0.969182i | \(-0.579230\pi\) | ||||
−0.246345 | + | 0.969182i | \(0.579230\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −36.8331 | −1.45255 | −0.726277 | − | 0.687402i | \(-0.758751\pi\) | ||||
−0.726277 | + | 0.687402i | \(0.758751\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −7.86484 | −0.309678 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 20.4587 | 0.804316 | 0.402158 | − | 0.915570i | \(-0.368260\pi\) | ||||
0.402158 | + | 0.915570i | \(0.368260\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −9.53983 | −0.374471 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −15.5594 | −0.608888 | −0.304444 | − | 0.952530i | \(-0.598471\pi\) | ||||
−0.304444 | + | 0.952530i | \(0.598471\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −18.0624 | −0.705757 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.04189 | 0.235717 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 23.6673 | 0.921945 | 0.460973 | − | 0.887414i | \(-0.347501\pi\) | ||||
0.460973 | + | 0.887414i | \(0.347501\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −20.1976 | −0.785595 | −0.392798 | − | 0.919625i | \(-0.628493\pi\) | ||||
−0.392798 | + | 0.919625i | \(0.628493\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −15.1138 | −0.586972 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 12.1669 | 0.471106 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.144658 | −0.00559281 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.14796 | −0.0443163 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.92633 | 0.305537 | 0.152769 | − | 0.988262i | \(-0.451181\pi\) | ||||
0.152769 | + | 0.988262i | \(0.451181\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −27.1976 | −1.04684 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −36.0564 | −1.38576 | −0.692881 | − | 0.721052i | \(-0.743659\pi\) | ||||
−0.692881 | + | 0.721052i | \(0.743659\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −6.33099 | −0.242604 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 12.3568 | 0.472819 | 0.236410 | − | 0.971653i | \(-0.424029\pi\) | ||||
0.236410 | + | 0.971653i | \(0.424029\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −69.6082 | −2.65959 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −15.4655 | −0.590047 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 31.9145 | 1.21584 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.00000 | 0.304334 | 0.152167 | − | 0.988355i | \(-0.451375\pi\) | ||||
0.152167 | + | 0.988355i | \(0.451375\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 18.6699 | 0.708191 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.48608 | −0.0562893 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 13.6331 | 0.515651 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 12.7611 | 0.481981 | 0.240991 | − | 0.970527i | \(-0.422528\pi\) | ||||
0.240991 | + | 0.970527i | \(0.422528\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.08378 | 0.304885 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 10.4997 | 0.395441 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 4.70502 | 0.176701 | 0.0883504 | − | 0.996089i | \(-0.471840\pi\) | ||||
0.0883504 | + | 0.996089i | \(0.471840\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −31.9668 | −1.19885 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 9.29591 | 0.348135 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −15.5817 | −0.582723 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −9.81016 | −0.366367 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 52.6219 | 1.96246 | 0.981232 | − | 0.192831i | \(-0.0617669\pi\) | ||||
0.981232 | + | 0.192831i | \(0.0617669\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −19.2808 | −0.717059 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 14.3628 | 0.533420 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −22.3901 | −0.830404 | −0.415202 | − | 0.909729i | \(-0.636289\pi\) | ||||
−0.415202 | + | 0.909729i | \(0.636289\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −6.63991 | −0.245923 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 17.9067 | 0.662304 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 30.2158 | 1.11604 | 0.558022 | − | 0.829826i | \(-0.311560\pi\) | ||||
0.558022 | + | 0.829826i | \(0.311560\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.694593 | −0.0255857 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.7716 | −0.469810 | −0.234905 | − | 0.972018i | \(-0.575478\pi\) | ||||
−0.234905 | + | 0.972018i | \(0.575478\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −5.22668 | −0.192007 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 37.4989 | 1.37570 | 0.687850 | − | 0.725853i | \(-0.258555\pi\) | ||||
0.687850 | + | 0.725853i | \(0.258555\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 60.1002 | 2.20190 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 29.1702 | 1.06728 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −36.7847 | −1.34229 | −0.671146 | − | 0.741325i | \(-0.734198\pi\) | ||||
−0.671146 | + | 0.741325i | \(0.734198\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 2.46110 | 0.0896876 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 4.60132 | 0.167459 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.27126 | −0.0825503 | −0.0412752 | − | 0.999148i | \(-0.513142\pi\) | ||||
−0.0412752 | + | 0.999148i | \(0.513142\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −4.13341 | −0.150033 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −10.1908 | −0.369415 | −0.184708 | − | 0.982793i | \(-0.559134\pi\) | ||||
−0.184708 | + | 0.982793i | \(0.559134\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 47.7211 | 1.72536 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −42.0847 | −1.51959 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 27.7802 | 1.00178 | 0.500891 | − | 0.865511i | \(-0.333006\pi\) | ||||
0.500891 | + | 0.865511i | \(0.333006\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.65270 | 0.203577 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 10.7820 | 0.387801 | 0.193901 | − | 0.981021i | \(-0.437886\pi\) | ||||
0.193901 | + | 0.981021i | \(0.437886\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 10.9736 | 0.394183 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.513919 | −0.0184131 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.46110 | 0.338545 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −6.98990 | −0.249798 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 48.3705 | 1.72642 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −21.3473 | −0.760949 | −0.380474 | − | 0.924791i | \(-0.624239\pi\) | ||||
−0.380474 | + | 0.924791i | \(0.624239\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.80840 | 0.135583 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.06418 | −0.179834 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 16.6783 | 0.591518 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −39.3096 | −1.39242 | −0.696209 | − | 0.717839i | \(-0.745132\pi\) | ||||
−0.696209 | + | 0.717839i | \(0.745132\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −23.9058 | −0.845726 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.92633 | −0.315396 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 2.34730 | 0.0828343 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 14.3473 | 0.505049 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 3.24661 | 0.114145 | 0.0570723 | − | 0.998370i | \(-0.481823\pi\) | ||||
0.0570723 | + | 0.998370i | \(0.481823\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 33.4056 | 1.17303 | 0.586515 | − | 0.809939i | \(-0.300500\pi\) | ||||
0.586515 | + | 0.809939i | \(0.300500\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 6.43047 | 0.225526 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 57.9427 | 2.02965 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 6.19253 | 0.216649 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −24.1976 | −0.844502 | −0.422251 | − | 0.906479i | \(-0.638760\pi\) | ||||
−0.422251 | + | 0.906479i | \(0.638760\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 46.7151 | 1.62839 | 0.814193 | − | 0.580594i | \(-0.197179\pi\) | ||||
0.814193 | + | 0.580594i | \(0.197179\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −4.87939 | −0.169878 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −1.89992 | −0.0660667 | −0.0330333 | − | 0.999454i | \(-0.510517\pi\) | ||||
−0.0330333 | + | 0.999454i | \(0.510517\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −50.9701 | −1.77026 | −0.885132 | − | 0.465340i | \(-0.845932\pi\) | ||||
−0.885132 | + | 0.465340i | \(0.845932\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 15.4293 | 0.535237 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 29.1266 | 1.00797 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −5.34049 | −0.184594 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 42.9368 | 1.48234 | 0.741171 | − | 0.671317i | \(-0.234271\pi\) | ||||
0.741171 | + | 0.671317i | \(0.234271\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.3087 | −0.872714 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 10.6203 | 0.365783 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −22.8212 | −0.785073 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 11.0948 | 0.380773 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 28.2020 | 0.966753 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −52.3560 | −1.79263 | −0.896317 | − | 0.443414i | \(-0.853767\pi\) | ||||
−0.896317 | + | 0.443414i | \(0.853767\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 16.5030 | 0.564390 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0.978036 | 0.0334091 | 0.0167045 | − | 0.999860i | \(-0.494683\pi\) | ||||
0.0167045 | + | 0.999860i | \(0.494683\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −34.0147 | −1.16057 | −0.580283 | − | 0.814415i | \(-0.697058\pi\) | ||||
−0.580283 | + | 0.814415i | \(0.697058\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 22.6955 | 0.772565 | 0.386282 | − | 0.922381i | \(-0.373759\pi\) | ||||
0.386282 | + | 0.922381i | \(0.373759\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 67.9377 | 2.30995 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 6.88713 | 0.233899 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −12.4192 | −0.421293 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.06418 | −0.103826 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 39.5036 | 1.33699 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.22844 | −0.0414813 | −0.0207407 | − | 0.999785i | \(-0.506602\pi\) | ||||
−0.0207407 | + | 0.999785i | \(0.506602\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 8.99319 | 0.303333 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9.13516 | −0.307771 | −0.153886 | − | 0.988089i | \(-0.549179\pi\) | ||||
−0.153886 | + | 0.988089i | \(0.549179\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −44.8256 | −1.50850 | −0.754251 | − | 0.656586i | \(-0.772000\pi\) | ||||
−0.754251 | + | 0.656586i | \(0.772000\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −21.9932 | −0.739293 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −23.0178 | −0.772864 | −0.386432 | − | 0.922318i | \(-0.626293\pi\) | ||||
−0.386432 | + | 0.922318i | \(0.626293\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −5.34730 | −0.179141 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −8.26714 | −0.276649 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.68954 | −0.156754 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −18.2344 | −0.608830 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 2.82026 | 0.0940609 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −37.9733 | −1.26507 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 62.3509 | 2.07261 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 28.3209 | 0.940380 | 0.470190 | − | 0.882565i | \(-0.344185\pi\) | ||||
0.470190 | + | 0.882565i | \(0.344185\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 17.2517 | 0.572201 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −2.97596 | −0.0985978 | −0.0492989 | − | 0.998784i | \(-0.515699\pi\) | ||||
−0.0492989 | + | 0.998784i | \(0.515699\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 11.3327 | 0.375059 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −2.64651 | −0.0874908 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −21.7939 | −0.718913 | −0.359456 | − | 0.933162i | \(-0.617038\pi\) | ||||
−0.359456 | + | 0.933162i | \(0.617038\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −7.58172 | −0.249826 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 41.7374 | 1.37380 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 33.2918 | 1.09463 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −5.78880 | −0.190129 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −37.0651 | −1.21607 | −0.608033 | − | 0.793911i | \(-0.708041\pi\) | ||||
−0.608033 | + | 0.793911i | \(0.708041\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 2.25072 | 0.0736854 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 18.5398 | 0.606317 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −39.8340 | −1.30132 | −0.650660 | − | 0.759369i | \(-0.725508\pi\) | ||||
−0.650660 | + | 0.759369i | \(0.725508\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 12.6767 | 0.413690 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −13.6919 | −0.446343 | −0.223172 | − | 0.974779i | \(-0.571641\pi\) | ||||
−0.223172 | + | 0.974779i | \(0.571641\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.79292 | −0.0583855 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 47.1334 | 1.53163 | 0.765815 | − | 0.643061i | \(-0.222336\pi\) | ||||
0.765815 | + | 0.643061i | \(0.222336\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.3550 | 0.336139 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −21.4192 | −0.694566 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −26.8990 | −0.871344 | −0.435672 | − | 0.900106i | \(-0.643489\pi\) | ||||
−0.435672 | + | 0.900106i | \(0.643489\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 54.9332 | 1.77760 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −1.25402 | −0.0405368 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −28.8452 | −0.930492 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −29.6833 | −0.956532 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 18.4338 | 0.593404 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 39.4270 | 1.26789 | 0.633943 | − | 0.773380i | \(-0.281435\pi\) | ||||
0.633943 | + | 0.773380i | \(0.281435\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 6.21894 | 0.199781 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 16.0814 | 0.516077 | 0.258039 | − | 0.966135i | \(-0.416924\pi\) | ||||
0.258039 | + | 0.966135i | \(0.416924\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −21.5253 | −0.689361 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 27.4279 | 0.877496 | 0.438748 | − | 0.898610i | \(-0.355422\pi\) | ||||
0.438748 | + | 0.898610i | \(0.355422\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.46791 | −0.110835 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 30.8503 | 0.984974 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −7.46616 | −0.238133 | −0.119067 | − | 0.992886i | \(-0.537990\pi\) | ||||
−0.119067 | + | 0.992886i | \(0.537990\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 16.3131 | 0.519780 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 21.6040 | 0.686967 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 24.2704 | 0.770976 | 0.385488 | − | 0.922713i | \(-0.374033\pi\) | ||||
0.385488 | + | 0.922713i | \(0.374033\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 4.15125 | 0.131736 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 21.3678 | 0.677406 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 33.1162 | 1.04880 | 0.524400 | − | 0.851472i | \(-0.324290\pi\) | ||||
0.524400 | + | 0.851472i | \(0.324290\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −16.2020 | −0.512610 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))