Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [4225,2,Mod(1,4225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(4225, 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("4225.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 4225 = 5^{2} \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4225.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: | \(33.7367948540\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.6.199374400.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 8x^{4} + 10x^{2} - 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-2.54574\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 4225.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.54574 | −1.80011 | −0.900055 | − | 0.435777i | \(-0.856474\pi\) | ||||
−0.900055 | + | 0.435777i | \(0.856474\pi\) | |||||||
\(3\) | 2.15293 | 1.24299 | 0.621496 | − | 0.783417i | \(-0.286525\pi\) | ||||
0.621496 | + | 0.783417i | \(0.286525\pi\) | |||||||
\(4\) | 4.48079 | 2.24039 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −5.48079 | −2.23752 | ||||||||
\(7\) | −2.93855 | −1.11067 | −0.555334 | − | 0.831627i | \(-0.687410\pi\) | ||||
−0.555334 | + | 0.831627i | \(0.687410\pi\) | |||||||
\(8\) | −6.31544 | −2.23284 | ||||||||
\(9\) | 1.63509 | 0.545030 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.635089 | 0.191487 | 0.0957433 | − | 0.995406i | \(-0.469477\pi\) | ||||
0.0957433 | + | 0.995406i | \(0.469477\pi\) | |||||||
\(12\) | 9.64680 | 2.78479 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 7.48079 | 1.99932 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 7.11588 | 1.77897 | ||||||||
\(17\) | 1.22396 | 0.296853 | 0.148427 | − | 0.988923i | \(-0.452579\pi\) | ||||
0.148427 | + | 0.988923i | \(0.452579\pi\) | |||||||
\(18\) | −4.16251 | −0.981113 | ||||||||
\(19\) | −1.36491 | −0.313132 | −0.156566 | − | 0.987667i | \(-0.550042\pi\) | ||||
−0.156566 | + | 0.987667i | \(0.550042\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −6.32648 | −1.38055 | ||||||||
\(22\) | −1.61677 | −0.344697 | ||||||||
\(23\) | −2.15293 | −0.448916 | −0.224458 | − | 0.974484i | \(-0.572061\pi\) | ||||
−0.224458 | + | 0.974484i | \(0.572061\pi\) | |||||||
\(24\) | −13.5967 | −2.77541 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.93855 | −0.565525 | ||||||||
\(28\) | −13.1670 | −2.48833 | ||||||||
\(29\) | 3.00000 | 0.557086 | 0.278543 | − | 0.960424i | \(-0.410149\pi\) | ||||
0.278543 | + | 0.960424i | \(0.410149\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.96157 | 1.60955 | 0.804773 | − | 0.593583i | \(-0.202287\pi\) | ||||
0.804773 | + | 0.593583i | \(0.202287\pi\) | |||||||
\(32\) | −5.48429 | −0.969495 | ||||||||
\(33\) | 1.36730 | 0.238016 | ||||||||
\(34\) | −3.11588 | −0.534368 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 7.32648 | 1.22108 | ||||||||
\(37\) | 1.22396 | 0.201217 | 0.100609 | − | 0.994926i | \(-0.467921\pi\) | ||||
0.100609 | + | 0.994926i | \(0.467921\pi\) | |||||||
\(38\) | 3.47471 | 0.563672 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.96157 | 1.55574 | 0.777868 | − | 0.628427i | \(-0.216301\pi\) | ||||
0.777868 | + | 0.628427i | \(0.216301\pi\) | |||||||
\(42\) | 16.1056 | 2.48514 | ||||||||
\(43\) | 1.36730 | 0.208511 | 0.104256 | − | 0.994551i | \(-0.466754\pi\) | ||||
0.104256 | + | 0.994551i | \(0.466754\pi\) | |||||||
\(44\) | 2.84570 | 0.429005 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.48079 | 0.808098 | ||||||||
\(47\) | −6.16379 | −0.899081 | −0.449540 | − | 0.893260i | \(-0.648412\pi\) | ||||
−0.449540 | + | 0.893260i | \(0.648412\pi\) | |||||||
\(48\) | 15.3200 | 2.21124 | ||||||||
\(49\) | 1.63509 | 0.233584 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.63509 | 0.368986 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.642285 | −0.0882246 | −0.0441123 | − | 0.999027i | \(-0.514046\pi\) | ||||
−0.0441123 | + | 0.999027i | \(0.514046\pi\) | |||||||
\(54\) | 7.48079 | 1.01801 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 18.5582 | 2.47995 | ||||||||
\(57\) | −2.93855 | −0.389221 | ||||||||
\(58\) | −7.63722 | −1.00282 | ||||||||
\(59\) | −7.59666 | −0.989001 | −0.494501 | − | 0.869177i | \(-0.664649\pi\) | ||||
−0.494501 | + | 0.869177i | \(0.664649\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.27018 | −0.290666 | −0.145333 | − | 0.989383i | \(-0.546425\pi\) | ||||
−0.145333 | + | 0.989383i | \(0.546425\pi\) | |||||||
\(62\) | −22.8138 | −2.89736 | ||||||||
\(63\) | −4.80479 | −0.605347 | ||||||||
\(64\) | −0.270178 | −0.0337722 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −3.48079 | −0.428455 | ||||||||
\(67\) | 8.03003 | 0.981024 | 0.490512 | − | 0.871434i | \(-0.336810\pi\) | ||||
0.490512 | + | 0.871434i | \(0.336810\pi\) | |||||||
\(68\) | 5.48429 | 0.665068 | ||||||||
\(69\) | −4.63509 | −0.557999 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.63509 | −0.312728 | −0.156364 | − | 0.987700i | \(-0.549977\pi\) | ||||
−0.156364 | + | 0.987700i | \(0.549977\pi\) | |||||||
\(72\) | −10.3263 | −1.21697 | ||||||||
\(73\) | −10.3263 | −1.20860 | −0.604301 | − | 0.796756i | \(-0.706547\pi\) | ||||
−0.604301 | + | 0.796756i | \(0.706547\pi\) | |||||||
\(74\) | −3.11588 | −0.362213 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.11588 | −0.701539 | ||||||||
\(77\) | −1.86624 | −0.212678 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.03843 | 0.116832 | 0.0584161 | − | 0.998292i | \(-0.481395\pi\) | ||||
0.0584161 | + | 0.998292i | \(0.481395\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −11.2318 | −1.24797 | ||||||||
\(82\) | −25.3596 | −2.80050 | ||||||||
\(83\) | 11.8452 | 1.30018 | 0.650092 | − | 0.759855i | \(-0.274730\pi\) | ||||
0.650092 | + | 0.759855i | \(0.274730\pi\) | |||||||
\(84\) | −28.3476 | −3.09298 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.48079 | −0.375343 | ||||||||
\(87\) | 6.45878 | 0.692454 | ||||||||
\(88\) | −4.01086 | −0.427559 | ||||||||
\(89\) | 12.5582 | 1.33117 | 0.665585 | − | 0.746322i | \(-0.268182\pi\) | ||||
0.665585 | + | 0.746322i | \(0.268182\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −9.64680 | −1.00575 | ||||||||
\(93\) | 19.2936 | 2.00065 | ||||||||
\(94\) | 15.6914 | 1.61844 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −11.8073 | −1.20507 | ||||||||
\(97\) | −14.7838 | −1.50107 | −0.750534 | − | 0.660832i | \(-0.770203\pi\) | ||||
−0.750534 | + | 0.660832i | \(0.770203\pi\) | |||||||
\(98\) | −4.16251 | −0.420477 | ||||||||
\(99\) | 1.03843 | 0.104366 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 13.2318 | 1.31661 | 0.658304 | − | 0.752752i | \(-0.271274\pi\) | ||||
0.658304 | + | 0.752752i | \(0.271274\pi\) | |||||||
\(102\) | −6.70825 | −0.664216 | ||||||||
\(103\) | −10.9686 | −1.08077 | −0.540383 | − | 0.841419i | \(-0.681721\pi\) | ||||
−0.540383 | + | 0.841419i | \(0.681721\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.63509 | 0.158814 | ||||||||
\(107\) | 10.6736 | 1.03186 | 0.515928 | − | 0.856632i | \(-0.327447\pi\) | ||||
0.515928 | + | 0.856632i | \(0.327447\pi\) | |||||||
\(108\) | −13.1670 | −1.26700 | ||||||||
\(109\) | 3.27018 | 0.313226 | 0.156613 | − | 0.987660i | \(-0.449942\pi\) | ||||
0.156613 | + | 0.987660i | \(0.449942\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.63509 | 0.250112 | ||||||||
\(112\) | −20.9104 | −1.97584 | ||||||||
\(113\) | 5.52981 | 0.520201 | 0.260100 | − | 0.965582i | \(-0.416244\pi\) | ||||
0.260100 | + | 0.965582i | \(0.416244\pi\) | |||||||
\(114\) | 7.48079 | 0.700640 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 13.4424 | 1.24809 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 19.3391 | 1.78031 | ||||||||
\(119\) | −3.59666 | −0.329705 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.5967 | −0.963333 | ||||||||
\(122\) | 5.77928 | 0.523231 | ||||||||
\(123\) | 21.4465 | 1.93377 | ||||||||
\(124\) | 40.1549 | 3.60602 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 12.2318 | 1.08969 | ||||||||
\(127\) | 17.2317 | 1.52907 | 0.764534 | − | 0.644584i | \(-0.222969\pi\) | ||||
0.764534 | + | 0.644584i | \(0.222969\pi\) | |||||||
\(128\) | 11.6564 | 1.03029 | ||||||||
\(129\) | 2.94369 | 0.259178 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.0000 | 0.873704 | 0.436852 | − | 0.899533i | \(-0.356093\pi\) | ||||
0.436852 | + | 0.899533i | \(0.356093\pi\) | |||||||
\(132\) | 6.12658 | 0.533250 | ||||||||
\(133\) | 4.01086 | 0.347786 | ||||||||
\(134\) | −20.4424 | −1.76595 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.72982 | −0.662827 | ||||||||
\(137\) | −8.67231 | −0.740926 | −0.370463 | − | 0.928847i | \(-0.620801\pi\) | ||||
−0.370463 | + | 0.928847i | \(0.620801\pi\) | |||||||
\(138\) | 11.7997 | 1.00446 | ||||||||
\(139\) | 14.3265 | 1.21516 | 0.607578 | − | 0.794260i | \(-0.292141\pi\) | ||||
0.607578 | + | 0.794260i | \(0.292141\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −13.2702 | −1.11755 | ||||||||
\(142\) | 6.70825 | 0.562944 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 11.6351 | 0.969591 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 26.2881 | 2.17562 | ||||||||
\(147\) | 3.52022 | 0.290343 | ||||||||
\(148\) | 5.48429 | 0.450806 | ||||||||
\(149\) | 17.1549 | 1.40538 | 0.702692 | − | 0.711494i | \(-0.251981\pi\) | ||||
0.702692 | + | 0.711494i | \(0.251981\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 21.3828 | 1.74011 | 0.870053 | − | 0.492957i | \(-0.164084\pi\) | ||||
0.870053 | + | 0.492957i | \(0.164084\pi\) | |||||||
\(152\) | 8.62001 | 0.699175 | ||||||||
\(153\) | 2.00128 | 0.161794 | ||||||||
\(154\) | 4.75096 | 0.382844 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 18.3646 | 1.46566 | 0.732829 | − | 0.680413i | \(-0.238200\pi\) | ||||
0.732829 | + | 0.680413i | \(0.238200\pi\) | |||||||
\(158\) | −2.64356 | −0.210311 | ||||||||
\(159\) | −1.38279 | −0.109662 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 6.32648 | 0.498597 | ||||||||
\(162\) | 28.5931 | 2.24649 | ||||||||
\(163\) | −4.01086 | −0.314155 | −0.157078 | − | 0.987586i | \(-0.550207\pi\) | ||||
−0.157078 | + | 0.987586i | \(0.550207\pi\) | |||||||
\(164\) | 44.6357 | 3.48546 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −30.1549 | −2.34047 | ||||||||
\(167\) | 2.93855 | 0.227392 | 0.113696 | − | 0.993516i | \(-0.463731\pi\) | ||||
0.113696 | + | 0.993516i | \(0.463731\pi\) | |||||||
\(168\) | 39.9545 | 3.08256 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.23175 | −0.170666 | ||||||||
\(172\) | 6.12658 | 0.467147 | ||||||||
\(173\) | −1.36730 | −0.103954 | −0.0519769 | − | 0.998648i | \(-0.516552\pi\) | ||||
−0.0519769 | + | 0.998648i | \(0.516552\pi\) | |||||||
\(174\) | −16.4424 | −1.24649 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.51921 | 0.340649 | ||||||||
\(177\) | −16.3550 | −1.22932 | ||||||||
\(178\) | −31.9700 | −2.39625 | ||||||||
\(179\) | 7.78613 | 0.581963 | 0.290981 | − | 0.956729i | \(-0.406018\pi\) | ||||
0.290981 | + | 0.956729i | \(0.406018\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.86684 | −0.287420 | −0.143710 | − | 0.989620i | \(-0.545903\pi\) | ||||
−0.143710 | + | 0.989620i | \(0.545903\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.88752 | −0.361296 | ||||||||
\(184\) | 13.5967 | 1.00236 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −49.1165 | −3.60139 | ||||||||
\(187\) | 0.777322 | 0.0568434 | ||||||||
\(188\) | −27.6186 | −2.01429 | ||||||||
\(189\) | 8.63509 | 0.628110 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.94369 | 0.357713 | 0.178857 | − | 0.983875i | \(-0.442760\pi\) | ||||
0.178857 | + | 0.983875i | \(0.442760\pi\) | |||||||
\(192\) | −0.581673 | −0.0419786 | ||||||||
\(193\) | 4.95644 | 0.356772 | 0.178386 | − | 0.983961i | \(-0.442912\pi\) | ||||
0.178386 | + | 0.983961i | \(0.442912\pi\) | |||||||
\(194\) | 37.6357 | 2.70208 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.32648 | 0.523320 | ||||||||
\(197\) | 6.74546 | 0.480594 | 0.240297 | − | 0.970699i | \(-0.422755\pi\) | ||||
0.240297 | + | 0.970699i | \(0.422755\pi\) | |||||||
\(198\) | −2.64356 | −0.187870 | ||||||||
\(199\) | 5.17544 | 0.366878 | 0.183439 | − | 0.983031i | \(-0.441277\pi\) | ||||
0.183439 | + | 0.983031i | \(0.441277\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 17.2881 | 1.21941 | ||||||||
\(202\) | −33.6846 | −2.37004 | ||||||||
\(203\) | −8.81566 | −0.618738 | ||||||||
\(204\) | 11.8073 | 0.826674 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 27.9231 | 1.94550 | ||||||||
\(207\) | −3.52022 | −0.244673 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.866840 | −0.0599606 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −14.0179 | −0.965031 | −0.482515 | − | 0.875888i | \(-0.660277\pi\) | ||||
−0.482515 | + | 0.875888i | \(0.660277\pi\) | |||||||
\(212\) | −2.87794 | −0.197658 | ||||||||
\(213\) | −5.67315 | −0.388718 | ||||||||
\(214\) | −27.1722 | −1.85745 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 18.5582 | 1.26273 | ||||||||
\(217\) | −26.3341 | −1.78767 | ||||||||
\(218\) | −8.32502 | −0.563841 | ||||||||
\(219\) | −22.2318 | −1.50228 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −6.70825 | −0.450228 | ||||||||
\(223\) | −0.00830491 | −0.000556138 0 | −0.000278069 | − | 1.00000i | \(-0.500089\pi\) | ||||
−0.000278069 | 1.00000i | \(0.500089\pi\) | ||||||||
\(224\) | 16.1159 | 1.07679 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14.0774 | −0.936418 | ||||||||
\(227\) | 11.2636 | 0.747589 | 0.373795 | − | 0.927511i | \(-0.378056\pi\) | ||||
0.373795 | + | 0.927511i | \(0.378056\pi\) | |||||||
\(228\) | −13.1670 | −0.872008 | ||||||||
\(229\) | 16.5404 | 1.09302 | 0.546509 | − | 0.837453i | \(-0.315957\pi\) | ||||
0.546509 | + | 0.837453i | \(0.315957\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.01788 | −0.264357 | ||||||||
\(232\) | −18.9463 | −1.24389 | ||||||||
\(233\) | −6.94941 | −0.455271 | −0.227636 | − | 0.973746i | \(-0.573100\pi\) | ||||
−0.227636 | + | 0.973746i | \(0.573100\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −34.0390 | −2.21575 | ||||||||
\(237\) | 2.23566 | 0.145221 | ||||||||
\(238\) | 9.15616 | 0.593506 | ||||||||
\(239\) | −4.00000 | −0.258738 | −0.129369 | − | 0.991596i | \(-0.541295\pi\) | ||||
−0.129369 | + | 0.991596i | \(0.541295\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −19.7721 | −1.27363 | −0.636817 | − | 0.771015i | \(-0.719749\pi\) | ||||
−0.636817 | + | 0.771015i | \(0.719749\pi\) | |||||||
\(242\) | 26.9763 | 1.73410 | ||||||||
\(243\) | −15.3655 | −0.985695 | ||||||||
\(244\) | −10.1722 | −0.651207 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −54.5973 | −3.48099 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −56.5962 | −3.59386 | ||||||||
\(249\) | 25.5019 | 1.61612 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.67352 | 0.231870 | 0.115935 | − | 0.993257i | \(-0.463014\pi\) | ||||
0.115935 | + | 0.993257i | \(0.463014\pi\) | |||||||
\(252\) | −21.5293 | −1.35622 | ||||||||
\(253\) | −1.36730 | −0.0859614 | ||||||||
\(254\) | −43.8674 | −2.75249 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −29.1338 | −1.82086 | ||||||||
\(257\) | 13.2648 | 0.827439 | 0.413719 | − | 0.910404i | \(-0.364229\pi\) | ||||
0.413719 | + | 0.910404i | \(0.364229\pi\) | |||||||
\(258\) | −7.49387 | −0.466548 | ||||||||
\(259\) | −3.59666 | −0.223486 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.90527 | 0.303628 | ||||||||
\(262\) | −25.4574 | −1.57276 | ||||||||
\(263\) | 30.2705 | 1.86656 | 0.933279 | − | 0.359152i | \(-0.116934\pi\) | ||||
0.933279 | + | 0.359152i | \(0.116934\pi\) | |||||||
\(264\) | −8.63509 | −0.531453 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −10.2106 | −0.626053 | ||||||||
\(267\) | 27.0369 | 1.65463 | ||||||||
\(268\) | 35.9809 | 2.19788 | ||||||||
\(269\) | −22.2496 | −1.35658 | −0.678292 | − | 0.734792i | \(-0.737280\pi\) | ||||
−0.678292 | + | 0.734792i | \(0.737280\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.8284 | 0.718525 | 0.359262 | − | 0.933237i | \(-0.383028\pi\) | ||||
0.359262 | + | 0.933237i | \(0.383028\pi\) | |||||||
\(272\) | 8.70953 | 0.528093 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 22.0774 | 1.33375 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −20.7688 | −1.25014 | ||||||||
\(277\) | 16.7851 | 1.00852 | 0.504259 | − | 0.863553i | \(-0.331766\pi\) | ||||
0.504259 | + | 0.863553i | \(0.331766\pi\) | |||||||
\(278\) | −36.4715 | −2.18741 | ||||||||
\(279\) | 14.6530 | 0.877250 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.5967 | 0.632144 | 0.316072 | − | 0.948735i | \(-0.397636\pi\) | ||||
0.316072 | + | 0.948735i | \(0.397636\pi\) | |||||||
\(282\) | 33.7824 | 2.01171 | ||||||||
\(283\) | −8.81566 | −0.524036 | −0.262018 | − | 0.965063i | \(-0.584388\pi\) | ||||
−0.262018 | + | 0.965063i | \(0.584388\pi\) | |||||||
\(284\) | −11.8073 | −0.700633 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −29.2726 | −1.72791 | ||||||||
\(288\) | −8.96730 | −0.528403 | ||||||||
\(289\) | −15.5019 | −0.911878 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −31.8284 | −1.86581 | ||||||||
\(292\) | −46.2699 | −2.70774 | ||||||||
\(293\) | 28.2526 | 1.65053 | 0.825267 | − | 0.564742i | \(-0.191024\pi\) | ||||
0.825267 | + | 0.564742i | \(0.191024\pi\) | |||||||
\(294\) | −8.96157 | −0.522650 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −7.72982 | −0.449287 | ||||||||
\(297\) | −1.86624 | −0.108290 | ||||||||
\(298\) | −43.6719 | −2.52984 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.01788 | −0.231587 | ||||||||
\(302\) | −54.4350 | −3.13238 | ||||||||
\(303\) | 28.4870 | 1.63653 | ||||||||
\(304\) | −9.71254 | −0.557052 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −5.09473 | −0.291247 | ||||||||
\(307\) | −12.7219 | −0.726077 | −0.363039 | − | 0.931774i | \(-0.618261\pi\) | ||||
−0.363039 | + | 0.931774i | \(0.618261\pi\) | |||||||
\(308\) | −8.36223 | −0.476482 | ||||||||
\(309\) | −23.6145 | −1.34338 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 27.9231 | 1.58338 | 0.791688 | − | 0.610925i | \(-0.209202\pi\) | ||||
0.791688 | + | 0.610925i | \(0.209202\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 24.5807 | 1.38938 | 0.694692 | − | 0.719307i | \(-0.255540\pi\) | ||||
0.694692 | + | 0.719307i | \(0.255540\pi\) | |||||||
\(314\) | −46.7516 | −2.63834 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.65297 | 0.261750 | ||||||||
\(317\) | 0.234377 | 0.0131639 | 0.00658196 | − | 0.999978i | \(-0.497905\pi\) | ||||
0.00658196 | + | 0.999978i | \(0.497905\pi\) | |||||||
\(318\) | 3.52022 | 0.197404 | ||||||||
\(319\) | 1.90527 | 0.106674 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 22.9795 | 1.28259 | ||||||||
\(322\) | −16.1056 | −0.897529 | ||||||||
\(323\) | −1.67059 | −0.0929543 | ||||||||
\(324\) | −50.3271 | −2.79595 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 10.2106 | 0.565513 | ||||||||
\(327\) | 7.04045 | 0.389338 | ||||||||
\(328\) | −62.9117 | −3.47372 | ||||||||
\(329\) | 18.1126 | 0.998581 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 18.3265 | 1.00731 | 0.503657 | − | 0.863904i | \(-0.331987\pi\) | ||||
0.503657 | + | 0.863904i | \(0.331987\pi\) | |||||||
\(332\) | 53.0760 | 2.91292 | ||||||||
\(333\) | 2.00128 | 0.109669 | ||||||||
\(334\) | −7.48079 | −0.409330 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −45.0185 | −2.45596 | ||||||||
\(337\) | −21.2949 | −1.16001 | −0.580003 | − | 0.814614i | \(-0.696949\pi\) | ||||
−0.580003 | + | 0.814614i | \(0.696949\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 11.9053 | 0.646605 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 5.69140 | 0.308206 | ||||||||
\(342\) | 5.68146 | 0.307218 | ||||||||
\(343\) | 15.7651 | 0.851234 | ||||||||
\(344\) | −8.63509 | −0.465573 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.48079 | 0.187128 | ||||||||
\(347\) | −3.81521 | −0.204811 | −0.102406 | − | 0.994743i | \(-0.532654\pi\) | ||||
−0.102406 | + | 0.994743i | \(0.532654\pi\) | |||||||
\(348\) | 28.9404 | 1.55137 | ||||||||
\(349\) | −24.3265 | −1.30217 | −0.651083 | − | 0.759006i | \(-0.725685\pi\) | ||||
−0.651083 | + | 0.759006i | \(0.725685\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.48301 | −0.185645 | ||||||||
\(353\) | 27.0591 | 1.44021 | 0.720104 | − | 0.693866i | \(-0.244094\pi\) | ||||
0.720104 | + | 0.693866i | \(0.244094\pi\) | |||||||
\(354\) | 41.6357 | 2.21291 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 56.2708 | 2.98235 | ||||||||
\(357\) | −7.74335 | −0.409821 | ||||||||
\(358\) | −19.8215 | −1.04760 | ||||||||
\(359\) | −27.0039 | −1.42521 | −0.712605 | − | 0.701566i | \(-0.752485\pi\) | ||||
−0.712605 | + | 0.701566i | \(0.752485\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.1370 | −0.901948 | ||||||||
\(362\) | 9.84396 | 0.517387 | ||||||||
\(363\) | −22.8138 | −1.19742 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 12.4424 | 0.650373 | ||||||||
\(367\) | −6.94111 | −0.362323 | −0.181161 | − | 0.983453i | \(-0.557986\pi\) | ||||
−0.181161 | + | 0.983453i | \(0.557986\pi\) | |||||||
\(368\) | −15.3200 | −0.798608 | ||||||||
\(369\) | 16.2881 | 0.847922 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.88739 | 0.0979882 | ||||||||
\(372\) | 86.4505 | 4.48225 | ||||||||
\(373\) | 2.31288 | 0.119756 | 0.0598781 | − | 0.998206i | \(-0.480929\pi\) | ||||
0.0598781 | + | 0.998206i | \(0.480929\pi\) | |||||||
\(374\) | −1.97886 | −0.102324 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 38.9270 | 2.00751 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −21.9827 | −1.13067 | ||||||||
\(379\) | −5.17544 | −0.265845 | −0.132922 | − | 0.991126i | \(-0.542436\pi\) | ||||
−0.132922 | + | 0.991126i | \(0.542436\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 37.0986 | 1.90062 | ||||||||
\(382\) | −12.5854 | −0.643923 | ||||||||
\(383\) | 20.6609 | 1.05572 | 0.527861 | − | 0.849331i | \(-0.322994\pi\) | ||||
0.527861 | + | 0.849331i | \(0.322994\pi\) | |||||||
\(384\) | 25.0953 | 1.28064 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −12.6178 | −0.642229 | ||||||||
\(387\) | 2.23566 | 0.113645 | ||||||||
\(388\) | −66.2430 | −3.36298 | ||||||||
\(389\) | 19.7477 | 1.00125 | 0.500624 | − | 0.865665i | \(-0.333104\pi\) | ||||
0.500624 | + | 0.865665i | \(0.333104\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.63509 | −0.133262 | ||||||||
\(392\) | −10.3263 | −0.521557 | ||||||||
\(393\) | 21.5293 | 1.08601 | ||||||||
\(394\) | −17.1722 | −0.865122 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 4.65297 | 0.233820 | ||||||||
\(397\) | 9.38902 | 0.471222 | 0.235611 | − | 0.971847i | \(-0.424291\pi\) | ||||
0.235611 | + | 0.971847i | \(0.424291\pi\) | |||||||
\(398\) | −13.1753 | −0.660420 | ||||||||
\(399\) | 8.63509 | 0.432295 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −24.5019 | −1.22357 | −0.611784 | − | 0.791025i | \(-0.709548\pi\) | ||||
−0.611784 | + | 0.791025i | \(0.709548\pi\) | |||||||
\(402\) | −44.0109 | −2.19506 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 59.2887 | 2.94972 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 22.4424 | 1.11380 | ||||||||
\(407\) | 0.777322 | 0.0385304 | ||||||||
\(408\) | −16.6417 | −0.823889 | ||||||||
\(409\) | −36.1165 | −1.78584 | −0.892922 | − | 0.450211i | \(-0.851349\pi\) | ||||
−0.892922 | + | 0.450211i | \(0.851349\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −18.6708 | −0.920965 | ||||||||
\(412\) | −49.1479 | −2.42134 | ||||||||
\(413\) | 22.3232 | 1.09845 | ||||||||
\(414\) | 8.96157 | 0.440437 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 30.8439 | 1.51043 | ||||||||
\(418\) | 2.20675 | 0.107936 | ||||||||
\(419\) | −6.86684 | −0.335467 | −0.167734 | − | 0.985832i | \(-0.553645\pi\) | ||||
−0.167734 | + | 0.985832i | \(0.553645\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −33.9795 | −1.65606 | −0.828029 | − | 0.560686i | \(-0.810538\pi\) | ||||
−0.828029 | + | 0.560686i | \(0.810538\pi\) | |||||||
\(422\) | 35.6859 | 1.73716 | ||||||||
\(423\) | −10.0783 | −0.490026 | ||||||||
\(424\) | 4.05631 | 0.196992 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 14.4424 | 0.699735 | ||||||||
\(427\) | 6.67104 | 0.322834 | ||||||||
\(428\) | 47.8261 | 2.31176 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 16.2496 | 0.782717 | 0.391359 | − | 0.920238i | \(-0.372005\pi\) | ||||
0.391359 | + | 0.920238i | \(0.372005\pi\) | |||||||
\(432\) | −20.9104 | −1.00605 | ||||||||
\(433\) | 0.256261 | 0.0123151 | 0.00615756 | − | 0.999981i | \(-0.498040\pi\) | ||||
0.00615756 | + | 0.999981i | \(0.498040\pi\) | |||||||
\(434\) | 67.0396 | 3.21800 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.6530 | 0.701750 | ||||||||
\(437\) | 2.93855 | 0.140570 | ||||||||
\(438\) | 56.5962 | 2.70427 | ||||||||
\(439\) | −7.59666 | −0.362569 | −0.181284 | − | 0.983431i | \(-0.558025\pi\) | ||||
−0.181284 | + | 0.983431i | \(0.558025\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.67352 | 0.127310 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.32246 | 0.205366 | 0.102683 | − | 0.994714i | \(-0.467257\pi\) | ||||
0.102683 | + | 0.994714i | \(0.467257\pi\) | |||||||
\(444\) | 11.8073 | 0.560348 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0.0211421 | 0.00100111 | ||||||||
\(447\) | 36.9332 | 1.74688 | ||||||||
\(448\) | 0.793931 | 0.0375097 | ||||||||
\(449\) | −3.28806 | −0.155173 | −0.0775865 | − | 0.996986i | \(-0.524721\pi\) | ||||
−0.0775865 | + | 0.996986i | \(0.524721\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.32648 | 0.297903 | ||||||||
\(452\) | 24.7779 | 1.16545 | ||||||||
\(453\) | 46.0356 | 2.16294 | ||||||||
\(454\) | −28.6741 | −1.34574 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 18.5582 | 0.869069 | ||||||||
\(457\) | 15.4261 | 0.721602 | 0.360801 | − | 0.932643i | \(-0.382503\pi\) | ||||
0.360801 | + | 0.932643i | \(0.382503\pi\) | |||||||
\(458\) | −42.1074 | −1.96755 | ||||||||
\(459\) | −3.59666 | −0.167878 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −25.8847 | −1.20557 | −0.602786 | − | 0.797903i | \(-0.705943\pi\) | ||||
−0.602786 | + | 0.797903i | \(0.705943\pi\) | |||||||
\(462\) | 10.2285 | 0.475872 | ||||||||
\(463\) | −7.04045 | −0.327197 | −0.163599 | − | 0.986527i | \(-0.552310\pi\) | ||||
−0.163599 | + | 0.986527i | \(0.552310\pi\) | |||||||
\(464\) | 21.3476 | 0.991039 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 17.6914 | 0.819538 | ||||||||
\(467\) | 18.8113 | 0.870482 | 0.435241 | − | 0.900314i | \(-0.356663\pi\) | ||||
0.435241 | + | 0.900314i | \(0.356663\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −23.5967 | −1.08959 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 39.5377 | 1.82180 | ||||||||
\(472\) | 47.9762 | 2.20828 | ||||||||
\(473\) | 0.868356 | 0.0399271 | ||||||||
\(474\) | −5.69140 | −0.261414 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −16.1159 | −0.738670 | ||||||||
\(477\) | −1.05019 | −0.0480850 | ||||||||
\(478\) | 10.1830 | 0.465758 | ||||||||
\(479\) | 19.4775 | 0.889951 | 0.444975 | − | 0.895543i | \(-0.353212\pi\) | ||||
0.444975 | + | 0.895543i | \(0.353212\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 50.3346 | 2.29268 | ||||||||
\(483\) | 13.6205 | 0.619752 | ||||||||
\(484\) | −47.4814 | −2.15824 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 39.1165 | 1.77436 | ||||||||
\(487\) | 32.3241 | 1.46474 | 0.732372 | − | 0.680905i | \(-0.238413\pi\) | ||||
0.732372 | + | 0.680905i | \(0.238413\pi\) | |||||||
\(488\) | 14.3372 | 0.649013 | ||||||||
\(489\) | −8.63509 | −0.390492 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 28.6708 | 1.29390 | 0.646949 | − | 0.762534i | \(-0.276045\pi\) | ||||
0.646949 | + | 0.762534i | \(0.276045\pi\) | |||||||
\(492\) | 96.0973 | 4.33240 | ||||||||
\(493\) | 3.67187 | 0.165373 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 63.7694 | 2.86333 | ||||||||
\(497\) | 7.74335 | 0.347337 | ||||||||
\(498\) | −64.9213 | −2.90919 | ||||||||
\(499\) | −28.9616 | −1.29650 | −0.648249 | − | 0.761428i | \(-0.724498\pi\) | ||||
−0.648249 | + | 0.761428i | \(0.724498\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6.32648 | 0.282646 | ||||||||
\(502\) | −9.35181 | −0.417392 | ||||||||
\(503\) | −28.1093 | −1.25333 | −0.626665 | − | 0.779289i | \(-0.715581\pi\) | ||||
−0.626665 | + | 0.779289i | \(0.715581\pi\) | |||||||
\(504\) | 30.3444 | 1.35165 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 3.48079 | 0.154740 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 77.2116 | 3.42571 | ||||||||
\(509\) | −21.1126 | −0.935800 | −0.467900 | − | 0.883781i | \(-0.654989\pi\) | ||||
−0.467900 | + | 0.883781i | \(0.654989\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 30.3444 | 1.34236 | ||||||||
\(512\) | 50.8542 | 2.24746 | ||||||||
\(513\) | 4.01086 | 0.177084 | ||||||||
\(514\) | −33.7688 | −1.48948 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 13.1901 | 0.580660 | ||||||||
\(517\) | −3.91455 | −0.172162 | ||||||||
\(518\) | 9.15616 | 0.402299 | ||||||||
\(519\) | −2.94369 | −0.129214 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.673516 | 0.0295073 | 0.0147536 | − | 0.999891i | \(-0.495304\pi\) | ||||
0.0147536 | + | 0.999891i | \(0.495304\pi\) | |||||||
\(522\) | −12.4875 | −0.546564 | ||||||||
\(523\) | −29.8626 | −1.30580 | −0.652900 | − | 0.757444i | \(-0.726448\pi\) | ||||
−0.652900 | + | 0.757444i | \(0.726448\pi\) | |||||||
\(524\) | 44.8079 | 1.95744 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −77.0608 | −3.36001 | ||||||||
\(527\) | 10.9686 | 0.477799 | ||||||||
\(528\) | 9.72953 | 0.423423 | ||||||||
\(529\) | −18.3649 | −0.798474 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −12.4212 | −0.539035 | ||||||||
\(532\) | 17.9718 | 0.779177 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −68.8290 | −2.97852 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −50.7131 | −2.19047 | ||||||||
\(537\) | 16.7630 | 0.723375 | ||||||||
\(538\) | 56.6418 | 2.44200 | ||||||||
\(539\) | 1.03843 | 0.0447282 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.28806 | −0.270345 | −0.135172 | − | 0.990822i | \(-0.543159\pi\) | ||||
−0.135172 | + | 0.990822i | \(0.543159\pi\) | |||||||
\(542\) | −30.1121 | −1.29342 | ||||||||
\(543\) | −8.32502 | −0.357261 | ||||||||
\(544\) | −6.71254 | −0.287798 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.03789 | −0.129891 | −0.0649454 | − | 0.997889i | \(-0.520687\pi\) | ||||
−0.0649454 | + | 0.997889i | \(0.520687\pi\) | |||||||
\(548\) | −38.8588 | −1.65997 | ||||||||
\(549\) | −3.71194 | −0.158422 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −4.09473 | −0.174442 | ||||||||
\(552\) | 29.2726 | 1.24592 | ||||||||
\(553\) | −3.05147 | −0.129762 | ||||||||
\(554\) | −42.7304 | −1.81544 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 64.1939 | 2.72243 | ||||||||
\(557\) | −20.6996 | −0.877071 | −0.438536 | − | 0.898714i | \(-0.644503\pi\) | ||||
−0.438536 | + | 0.898714i | \(0.644503\pi\) | |||||||
\(558\) | −37.3026 | −1.57915 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.67352 | 0.0706559 | ||||||||
\(562\) | −26.9763 | −1.13793 | ||||||||
\(563\) | 10.9603 | 0.461921 | 0.230960 | − | 0.972963i | \(-0.425813\pi\) | ||||
0.230960 | + | 0.972963i | \(0.425813\pi\) | |||||||
\(564\) | −59.4608 | −2.50375 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 22.4424 | 0.943323 | ||||||||
\(567\) | 33.0051 | 1.38608 | ||||||||
\(568\) | 16.6417 | 0.698272 | ||||||||
\(569\) | 42.7131 | 1.79063 | 0.895314 | − | 0.445436i | \(-0.146951\pi\) | ||||
0.895314 | + | 0.445436i | \(0.146951\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −23.6145 | −0.988238 | −0.494119 | − | 0.869394i | \(-0.664509\pi\) | ||||
−0.494119 | + | 0.869394i | \(0.664509\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 10.6434 | 0.444635 | ||||||||
\(574\) | 74.5204 | 3.11042 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.441765 | −0.0184069 | ||||||||
\(577\) | 18.3646 | 0.764530 | 0.382265 | − | 0.924053i | \(-0.375144\pi\) | ||||
0.382265 | + | 0.924053i | \(0.375144\pi\) | |||||||
\(578\) | 39.4639 | 1.64148 | ||||||||
\(579\) | 10.6708 | 0.443465 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −34.8079 | −1.44407 | ||||||||
\(582\) | 81.0268 | 3.35867 | ||||||||
\(583\) | −0.407908 | −0.0168938 | ||||||||
\(584\) | 65.2151 | 2.69862 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −71.9237 | −2.97114 | ||||||||
\(587\) | 0.702897 | 0.0290116 | 0.0145058 | − | 0.999895i | \(-0.495382\pi\) | ||||
0.0145058 | + | 0.999895i | \(0.495382\pi\) | |||||||
\(588\) | 15.7734 | 0.650483 | ||||||||
\(589\) | −12.2318 | −0.504001 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 14.5225 | 0.597375 | ||||||||
\(592\) | 8.70953 | 0.357959 | ||||||||
\(593\) | 37.1593 | 1.52595 | 0.762975 | − | 0.646428i | \(-0.223738\pi\) | ||||
0.762975 | + | 0.646428i | \(0.223738\pi\) | |||||||
\(594\) | 4.75096 | 0.194934 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 76.8674 | 3.14861 | ||||||||
\(597\) | 11.1423 | 0.456026 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −15.6914 | −0.641133 | −0.320567 | − | 0.947226i | \(-0.603873\pi\) | ||||
−0.320567 | + | 0.947226i | \(0.603873\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.0039 | 0.489648 | 0.244824 | − | 0.969568i | \(-0.421270\pi\) | ||||
0.244824 | + | 0.969568i | \(0.421270\pi\) | |||||||
\(602\) | 10.2285 | 0.416881 | ||||||||
\(603\) | 13.1298 | 0.534687 | ||||||||
\(604\) | 95.8117 | 3.89852 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −72.5204 | −2.94594 | ||||||||
\(607\) | 38.6865 | 1.57024 | 0.785119 | − | 0.619345i | \(-0.212602\pi\) | ||||
0.785119 | + | 0.619345i | \(0.212602\pi\) | |||||||
\(608\) | 7.48557 | 0.303580 | ||||||||
\(609\) | −18.9795 | −0.769086 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 8.96730 | 0.362482 | ||||||||
\(613\) | 17.2840 | 0.698095 | 0.349047 | − | 0.937105i | \(-0.386505\pi\) | ||||
0.349047 | + | 0.937105i | \(0.386505\pi\) | |||||||
\(614\) | 32.3866 | 1.30702 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 11.7861 | 0.474877 | ||||||||
\(617\) | −26.4691 | −1.06561 | −0.532803 | − | 0.846240i | \(-0.678861\pi\) | ||||
−0.532803 | + | 0.846240i | \(0.678861\pi\) | |||||||
\(618\) | 60.1165 | 2.41824 | ||||||||
\(619\) | 31.0039 | 1.24615 | 0.623075 | − | 0.782162i | \(-0.285883\pi\) | ||||
0.623075 | + | 0.782162i | \(0.285883\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.32648 | 0.253873 | ||||||||
\(622\) | −71.0850 | −2.85025 | ||||||||
\(623\) | −36.9030 | −1.47849 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −62.5761 | −2.50104 | ||||||||
\(627\) | −1.86624 | −0.0745305 | ||||||||
\(628\) | 82.2880 | 3.28365 | ||||||||
\(629\) | 1.49807 | 0.0597320 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 20.7131 | 0.824577 | 0.412288 | − | 0.911053i | \(-0.364730\pi\) | ||||
0.412288 | + | 0.911053i | \(0.364730\pi\) | |||||||
\(632\) | −6.55812 | −0.260868 | ||||||||
\(633\) | −30.1795 | −1.19953 | ||||||||
\(634\) | −0.596662 | −0.0236965 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −6.19599 | −0.245687 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −4.85031 | −0.192026 | ||||||||
\(639\) | −4.30860 | −0.170446 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 21.1895 | 0.836934 | 0.418467 | − | 0.908232i | \(-0.362568\pi\) | ||||
0.418467 | + | 0.908232i | \(0.362568\pi\) | |||||||
\(642\) | −58.4997 | −2.30880 | ||||||||
\(643\) | 11.5336 | 0.454843 | 0.227421 | − | 0.973796i | \(-0.426971\pi\) | ||||
0.227421 | + | 0.973796i | \(0.426971\pi\) | |||||||
\(644\) | 28.3476 | 1.11705 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.25289 | 0.167328 | ||||||||
\(647\) | −34.8464 | −1.36995 | −0.684977 | − | 0.728565i | \(-0.740188\pi\) | ||||
−0.684977 | + | 0.728565i | \(0.740188\pi\) | |||||||
\(648\) | 70.9334 | 2.78653 | ||||||||
\(649\) | −4.82456 | −0.189380 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −56.6953 | −2.22206 | ||||||||
\(652\) | −17.9718 | −0.703831 | ||||||||
\(653\) | 22.3232 | 0.873574 | 0.436787 | − | 0.899565i | \(-0.356116\pi\) | ||||
0.436787 | + | 0.899565i | \(0.356116\pi\) | |||||||
\(654\) | −17.9231 | −0.700850 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 70.8853 | 2.76761 | ||||||||
\(657\) | −16.8844 | −0.658724 | ||||||||
\(658\) | −46.1100 | −1.79755 | ||||||||
\(659\) | −0.866840 | −0.0337673 | −0.0168836 | − | 0.999857i | \(-0.505374\pi\) | ||||
−0.0168836 | + | 0.999857i | \(0.505374\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −13.3086 | −0.517645 | −0.258822 | − | 0.965925i | \(-0.583334\pi\) | ||||
−0.258822 | + | 0.965925i | \(0.583334\pi\) | |||||||
\(662\) | −46.6544 | −1.81328 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −74.8079 | −2.90311 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −5.09473 | −0.197417 | ||||||||
\(667\) | −6.45878 | −0.250085 | ||||||||
\(668\) | 13.1670 | 0.509448 | ||||||||
\(669\) | −0.0178799 | −0.000691275 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.44176 | −0.0556587 | ||||||||
\(672\) | 34.6963 | 1.33844 | ||||||||
\(673\) | −5.51320 | −0.212518 | −0.106259 | − | 0.994338i | \(-0.533887\pi\) | ||||
−0.106259 | + | 0.994338i | \(0.533887\pi\) | |||||||
\(674\) | 54.2112 | 2.08814 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −4.80479 | −0.184663 | −0.0923316 | − | 0.995728i | \(-0.529432\pi\) | ||||
−0.0923316 | + | 0.995728i | \(0.529432\pi\) | |||||||
\(678\) | −30.3077 | −1.16396 | ||||||||
\(679\) | 43.4430 | 1.66719 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 24.2496 | 0.929248 | ||||||||
\(682\) | −14.4888 | −0.554805 | ||||||||
\(683\) | −11.7625 | −0.450080 | −0.225040 | − | 0.974350i | \(-0.572251\pi\) | ||||
−0.225040 | + | 0.974350i | \(0.572251\pi\) | |||||||
\(684\) | −10.0000 | −0.382360 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −40.1338 | −1.53231 | ||||||||
\(687\) | 35.6102 | 1.35861 | ||||||||
\(688\) | 9.72953 | 0.370935 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.86684 | −0.185143 | −0.0925717 | − | 0.995706i | \(-0.529509\pi\) | ||||
−0.0925717 | + | 0.995706i | \(0.529509\pi\) | |||||||
\(692\) | −6.12658 | −0.232897 | ||||||||
\(693\) | −3.05147 | −0.115916 | ||||||||
\(694\) | 9.71254 | 0.368683 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −40.7900 | −1.54614 | ||||||||
\(697\) | 12.1925 | 0.461825 | ||||||||
\(698\) | 61.9289 | 2.34404 | ||||||||
\(699\) | −14.9616 | −0.565899 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 21.3828 | 0.807617 | 0.403808 | − | 0.914844i | \(-0.367686\pi\) | ||||
0.403808 | + | 0.914844i | \(0.367686\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.67059 | −0.0630076 | ||||||||
\(704\) | −0.171587 | −0.00646692 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −68.8853 | −2.59253 | ||||||||
\(707\) | −38.8822 | −1.46232 | ||||||||
\(708\) | −73.2835 | −2.75416 | ||||||||
\(709\) | 26.1165 | 0.980825 | 0.490412 | − | 0.871491i | \(-0.336846\pi\) | ||||
0.490412 | + | 0.871491i | \(0.336846\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.69792 | 0.0636770 | ||||||||
\(712\) | −79.3107 | −2.97229 | ||||||||
\(713\) | −19.2936 | −0.722551 | ||||||||
\(714\) | 19.7125 | 0.737723 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 34.8880 | 1.30383 | ||||||||
\(717\) | −8.61170 | −0.321610 | ||||||||
\(718\) | 68.7448 | 2.56553 | ||||||||
\(719\) | 36.6774 | 1.36784 | 0.683918 | − | 0.729559i | \(-0.260275\pi\) | ||||
0.683918 | + | 0.729559i | \(0.260275\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 32.2318 | 1.20037 | ||||||||
\(722\) | 43.6264 | 1.62361 | ||||||||
\(723\) | −42.5679 | −1.58312 | ||||||||
\(724\) | −17.3265 | −0.643934 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 58.0780 | 2.15548 | ||||||||
\(727\) | −26.2596 | −0.973916 | −0.486958 | − | 0.873425i | \(-0.661893\pi\) | ||||
−0.486958 | + | 0.873425i | \(0.661893\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.614542 | 0.0227608 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.67352 | 0.0618972 | ||||||||
\(732\) | −21.9000 | −0.809446 | ||||||||
\(733\) | −31.7811 | −1.17386 | −0.586931 | − | 0.809637i | \(-0.699664\pi\) | ||||
−0.586931 | + | 0.809637i | \(0.699664\pi\) | |||||||
\(734\) | 17.6703 | 0.652221 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 11.8073 | 0.435222 | ||||||||
\(737\) | 5.09978 | 0.187853 | ||||||||
\(738\) | −41.4651 | −1.52635 | ||||||||
\(739\) | 34.1370 | 1.25575 | 0.627875 | − | 0.778314i | \(-0.283925\pi\) | ||||
0.627875 | + | 0.778314i | \(0.283925\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.80479 | −0.176390 | ||||||||
\(743\) | −3.12062 | −0.114485 | −0.0572423 | − | 0.998360i | \(-0.518231\pi\) | ||||
−0.0572423 | + | 0.998360i | \(0.518231\pi\) | |||||||
\(744\) | −121.847 | −4.46715 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −5.88798 | −0.215574 | ||||||||
\(747\) | 19.3680 | 0.708639 | ||||||||
\(748\) | 3.48301 | 0.127352 | ||||||||
\(749\) | −31.3649 | −1.14605 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.48405 | 0.0541537 | 0.0270769 | − | 0.999633i | \(-0.491380\pi\) | ||||
0.0270769 | + | 0.999633i | \(0.491380\pi\) | |||||||
\(752\) | −43.8607 | −1.59944 | ||||||||
\(753\) | 7.90881 | 0.288213 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 38.6920 | 1.40721 | ||||||||
\(757\) | 5.09978 | 0.185355 | 0.0926774 | − | 0.995696i | \(-0.470457\pi\) | ||||
0.0926774 | + | 0.995696i | \(0.470457\pi\) | |||||||
\(758\) | 13.1753 | 0.478550 | ||||||||
\(759\) | −2.94369 | −0.106849 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 29.7861 | 1.07975 | 0.539873 | − | 0.841746i | \(-0.318472\pi\) | ||||
0.539873 | + | 0.841746i | \(0.318472\pi\) | |||||||
\(762\) | −94.4433 | −3.42132 | ||||||||
\(763\) | −9.60959 | −0.347890 | ||||||||
\(764\) | 22.1516 | 0.801418 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −52.5973 | −1.90042 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −62.7228 | −2.26331 | ||||||||
\(769\) | −19.0986 | −0.688713 | −0.344356 | − | 0.938839i | \(-0.611903\pi\) | ||||
−0.344356 | + | 0.938839i | \(0.611903\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 28.5582 | 1.02850 | ||||||||
\(772\) | 22.2088 | 0.799311 | ||||||||
\(773\) | −49.2306 | −1.77070 | −0.885351 | − | 0.464923i | \(-0.846082\pi\) | ||||
−0.885351 | + | 0.464923i | \(0.846082\pi\) | |||||||
\(774\) | −5.69140 | −0.204573 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 93.3661 | 3.35165 | ||||||||
\(777\) | −7.74335 | −0.277791 | ||||||||
\(778\) | −50.2725 | −1.80236 | ||||||||
\(779\) | −13.5967 | −0.487151 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.67352 | −0.0598831 | ||||||||
\(782\) | 6.70825 | 0.239886 | ||||||||
\(783\) | −8.81566 | −0.315046 | ||||||||
\(784\) | 11.6351 | 0.415539 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −54.8079 | −1.95493 | ||||||||
\(787\) | 9.78335 | 0.348739 | 0.174369 | − | 0.984680i | \(-0.444211\pi\) | ||||
0.174369 | + | 0.984680i | \(0.444211\pi\) | |||||||
\(788\) | 30.2250 | 1.07672 | ||||||||
\(789\) | 65.1701 | 2.32012 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −16.2496 | −0.577770 | ||||||||
\(792\) | −6.55812 | −0.233033 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −23.9020 | −0.848250 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 23.1901 | 0.821950 | ||||||||
\(797\) | 16.5371 | 0.585775 | 0.292887 | − | 0.956147i | \(-0.405384\pi\) | ||||
0.292887 | + | 0.956147i | \(0.405384\pi\) | |||||||
\(798\) | −21.9827 | −0.778178 | ||||||||
\(799\) | −7.54421 | −0.266895 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 20.5338 | 0.725527 | ||||||||
\(802\) | 62.3755 | 2.20256 | ||||||||
\(803\) | −6.55812 | −0.231431 | ||||||||
\(804\) | 77.4641 | 2.73195 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −47.9018 | −1.68622 | ||||||||
\(808\) | −83.5643 | −2.93978 | ||||||||
\(809\) | −31.8424 | −1.11952 | −0.559760 | − | 0.828655i | \(-0.689107\pi\) | ||||
−0.559760 | + | 0.828655i | \(0.689107\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −13.3470 | −0.468678 | −0.234339 | − | 0.972155i | \(-0.575293\pi\) | ||||
−0.234339 | + | 0.972155i | \(0.575293\pi\) | |||||||
\(812\) | −39.5011 | −1.38622 | ||||||||
\(813\) | 25.4657 | 0.893121 | ||||||||
\(814\) | −1.97886 | −0.0693589 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 18.7510 | 0.656415 | ||||||||
\(817\) | −1.86624 | −0.0652915 | ||||||||
\(818\) | 91.9431 | 3.21472 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −11.6735 | −0.407409 | −0.203704 | − | 0.979032i | \(-0.565298\pi\) | ||||
−0.203704 | + | 0.979032i | \(0.565298\pi\) | |||||||
\(822\) | 47.5311 | 1.65784 | ||||||||
\(823\) | 32.4317 | 1.13050 | 0.565249 | − | 0.824920i | \(-0.308780\pi\) | ||||
0.565249 | + | 0.824920i | \(0.308780\pi\) | |||||||
\(824\) | 69.2714 | 2.41318 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −56.8290 | −1.97733 | ||||||||
\(827\) | −27.3319 | −0.950425 | −0.475212 | − | 0.879871i | \(-0.657629\pi\) | ||||
−0.475212 | + | 0.879871i | \(0.657629\pi\) | |||||||
\(828\) | −15.7734 | −0.548163 | ||||||||
\(829\) | 3.54036 | 0.122962 | 0.0614808 | − | 0.998108i | \(-0.480418\pi\) | ||||
0.0614808 | + | 0.998108i | \(0.480418\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 36.1370 | 1.25358 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.00128 | 0.0693402 | ||||||||
\(834\) | −78.5204 | −2.71894 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −3.88412 | −0.134335 | ||||||||
\(837\) | −26.3341 | −0.910238 | ||||||||
\(838\) | 17.4812 | 0.603877 | ||||||||
\(839\) | −44.7900 | −1.54632 | −0.773161 | − | 0.634210i | \(-0.781326\pi\) | ||||
−0.773161 | + | 0.634210i | \(0.781326\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.0000 | −0.689655 | ||||||||
\(842\) | 86.5028 | 2.98108 | ||||||||
\(843\) | 22.8138 | 0.785750 | ||||||||
\(844\) | −62.8111 | −2.16205 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 25.6568 | 0.882100 | ||||||||
\(847\) | 31.1388 | 1.06994 | ||||||||
\(848\) | −4.57042 | −0.156949 | ||||||||
\(849\) | −18.9795 | −0.651373 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.63509 | −0.0903297 | ||||||||
\(852\) | −25.4202 | −0.870881 | ||||||||
\(853\) | 31.3732 | 1.07420 | 0.537099 | − | 0.843519i | \(-0.319520\pi\) | ||||
0.537099 | + | 0.843519i | \(0.319520\pi\) | |||||||
\(854\) | −16.9827 | −0.581137 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −67.4084 | −2.30397 | ||||||||
\(857\) | −21.2813 | −0.726955 | −0.363478 | − | 0.931603i | \(-0.618411\pi\) | ||||
−0.363478 | + | 0.931603i | \(0.618411\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 56.8502 | 1.93970 | 0.969851 | − | 0.243698i | \(-0.0783607\pi\) | ||||
0.969851 | + | 0.243698i | \(0.0783607\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −63.0217 | −2.14778 | ||||||||
\(862\) | −41.3673 | −1.40898 | ||||||||
\(863\) | −32.8011 | −1.11656 | −0.558282 | − | 0.829651i | \(-0.688539\pi\) | ||||
−0.558282 | + | 0.829651i | \(0.688539\pi\) | |||||||
\(864\) | 16.1159 | 0.548273 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −0.652374 | −0.0221686 | ||||||||
\(867\) | −33.3745 | −1.13346 | ||||||||
\(868\) | −117.997 | −4.00509 | ||||||||
\(869\) | 0.659493 | 0.0223718 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −20.6526 | −0.699385 | ||||||||
\(873\) | −24.1728 | −0.818126 | ||||||||
\(874\) | −7.48079 | −0.253041 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −99.6157 | −3.36570 | ||||||||
\(877\) | 36.0651 | 1.21783 | 0.608916 | − | 0.793235i | \(-0.291605\pi\) | ||||
0.608916 | + | 0.793235i | \(0.291605\pi\) | |||||||
\(878\) | 19.3391 | 0.652664 | ||||||||
\(879\) | 60.8257 | 2.05160 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −46.0396 | −1.55111 | −0.775557 | − | 0.631277i | \(-0.782531\pi\) | ||||
−0.775557 | + | 0.631277i | \(0.782531\pi\) | |||||||
\(882\) | −6.80607 | −0.229172 | ||||||||
\(883\) | 0.802236 | 0.0269974 | 0.0134987 | − | 0.999909i | \(-0.495703\pi\) | ||||
0.0134987 | + | 0.999909i | \(0.495703\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.0039 | −0.369682 | ||||||||
\(887\) | 8.22568 | 0.276191 | 0.138096 | − | 0.990419i | \(-0.455902\pi\) | ||||
0.138096 | + | 0.990419i | \(0.455902\pi\) | |||||||
\(888\) | −16.6417 | −0.558460 | ||||||||
\(889\) | −50.6363 | −1.69829 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −7.13316 | −0.238970 | ||||||||
\(892\) | −0.0372125 | −0.00124597 | ||||||||
\(893\) | 8.41302 | 0.281531 | ||||||||
\(894\) | −94.0223 | −3.14458 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −34.2529 | −1.14431 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 8.37054 | 0.279328 | ||||||||
\(899\) | 26.8847 | 0.896656 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.786129 | −0.0261897 | ||||||||
\(902\) | −16.1056 | −0.536257 | ||||||||
\(903\) | −8.65020 | −0.287861 | ||||||||
\(904\) | −34.9231 | −1.16153 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −117.195 | −3.89353 | ||||||||
\(907\) | −30.4359 | −1.01061 | −0.505305 | − | 0.862941i | \(-0.668620\pi\) | ||||
−0.505305 | + | 0.862941i | \(0.668620\pi\) | |||||||
\(908\) | 50.4697 | 1.67489 | ||||||||
\(909\) | 21.6351 | 0.717591 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 43.6145 | 1.44501 | 0.722507 | − | 0.691363i | \(-0.242990\pi\) | ||||
0.722507 | + | 0.691363i | \(0.242990\pi\) | |||||||
\(912\) | −20.9104 | −0.692412 | ||||||||
\(913\) | 7.52278 | 0.248968 | ||||||||
\(914\) | −39.2708 | −1.29896 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 74.1138 | 2.44879 | ||||||||
\(917\) | −29.3855 | −0.970395 | ||||||||
\(918\) | 9.15616 | 0.302198 | ||||||||
\(919\) | −37.0217 | −1.22123 | −0.610617 | − | 0.791926i | \(-0.709079\pi\) | ||||
−0.610617 | + | 0.791926i | \(0.709079\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −27.3893 | −0.902509 | ||||||||
\(922\) | 65.8957 | 2.17016 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −18.0033 | −0.592264 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 17.9231 | 0.588991 | ||||||||
\(927\) | −17.9346 | −0.589050 | ||||||||
\(928\) | −16.4529 | −0.540092 | ||||||||
\(929\) | 4.76825 | 0.156441 | 0.0782206 | − | 0.996936i | \(-0.475076\pi\) | ||||
0.0782206 | + | 0.996936i | \(0.475076\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.23175 | −0.0731427 | ||||||||
\(932\) | −31.1388 | −1.01999 | ||||||||
\(933\) | 60.1165 | 1.96812 | ||||||||
\(934\) | −47.8886 | −1.56696 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 43.6264 | 1.42521 | 0.712606 | − | 0.701565i | \(-0.247515\pi\) | ||||
0.712606 | + | 0.701565i | \(0.247515\pi\) | |||||||
\(938\) | 60.0709 | 1.96139 | ||||||||
\(939\) | 52.9205 | 1.72699 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −18.2675 | −0.595504 | −0.297752 | − | 0.954643i | \(-0.596237\pi\) | ||||
−0.297752 | + | 0.954643i | \(0.596237\pi\) | |||||||
\(942\) | −100.653 | −3.27944 | ||||||||
\(943\) | −21.4465 | −0.698395 | ||||||||
\(944\) | −54.0569 | −1.75940 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.21061 | −0.0718731 | ||||||||
\(947\) | 19.9829 | 0.649358 | 0.324679 | − | 0.945824i | \(-0.394744\pi\) | ||||
0.324679 | + | 0.945824i | \(0.394744\pi\) | |||||||
\(948\) | 10.0175 | 0.325353 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.504596 | 0.0163626 | ||||||||
\(952\) | 22.7145 | 0.736181 | ||||||||
\(953\) | −39.8635 | −1.29130 | −0.645652 | − | 0.763632i | \(-0.723414\pi\) | ||||
−0.645652 | + | 0.763632i | \(0.723414\pi\) | |||||||
\(954\) | 2.67352 | 0.0865583 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −17.9231 | −0.579676 | ||||||||
\(957\) | 4.10190 | 0.132596 | ||||||||
\(958\) | −49.5847 | −1.60201 | ||||||||
\(959\) | 25.4840 | 0.822923 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 49.3098 | 1.59064 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 17.4523 | 0.562392 | ||||||||
\(964\) | −88.5946 | −2.85344 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −34.6741 | −1.11562 | ||||||||
\(967\) | 43.8607 | 1.41047 | 0.705233 | − | 0.708975i | \(-0.250842\pi\) | ||||
0.705233 | + | 0.708975i | \(0.250842\pi\) | |||||||
\(968\) | 66.9225 | 2.15097 | ||||||||
\(969\) | −3.59666 | −0.115541 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 60.9795 | 1.95692 | 0.978462 | − | 0.206428i | \(-0.0661838\pi\) | ||||
0.978462 | + | 0.206428i | \(0.0661838\pi\) | |||||||
\(972\) | −68.8494 | −2.20835 | ||||||||
\(973\) | −42.0991 | −1.34964 | ||||||||
\(974\) | −82.2887 | −2.63670 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −16.1543 | −0.517087 | ||||||||
\(977\) | −51.3697 | −1.64346 | −0.821731 | − | 0.569875i | \(-0.806992\pi\) | ||||
−0.821731 | + | 0.569875i | \(0.806992\pi\) | |||||||
\(978\) | 21.9827 | 0.702929 | ||||||||
\(979\) | 7.97560 | 0.254901 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.34703 | 0.170718 | ||||||||
\(982\) | −72.9885 | −2.32916 | ||||||||
\(983\) | −37.3026 | −1.18977 | −0.594885 | − | 0.803811i | \(-0.702802\pi\) | ||||
−0.594885 | + | 0.803811i | \(0.702802\pi\) | |||||||
\(984\) | −135.444 | −4.31780 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −9.34763 | −0.297689 | ||||||||
\(987\) | 38.9951 | 1.24123 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −2.94369 | −0.0936040 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −51.5621 | −1.63792 | −0.818962 | − | 0.573848i | \(-0.805450\pi\) | ||||
−0.818962 | + | 0.573848i | \(0.805450\pi\) | |||||||
\(992\) | −49.1479 | −1.56045 | ||||||||
\(993\) | 39.4556 | 1.25208 | ||||||||
\(994\) | −19.7125 | −0.625244 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 114.269 | 3.62074 | ||||||||
\(997\) | 22.9489 | 0.726798 | 0.363399 | − | 0.931634i | \(-0.381616\pi\) | ||||
0.363399 | + | 0.931634i | \(0.381616\pi\) | |||||||
\(998\) | 73.7286 | 2.33384 | ||||||||
\(999\) | −3.59666 | −0.113793 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))