Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3969,2,Mod(1,3969)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3969, 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("3969.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3969 = 3^{4} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3969.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: | \(31.6926245622\) |
Analytic rank: | \(0\) |
Dimension: | \(5\) |
Coefficient field: | 5.5.574857.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{5} - 2x^{4} - 5x^{3} + 9x^{2} + 3x - 3 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-2.05365\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3969.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.05365 | −1.45215 | −0.726073 | − | 0.687617i | \(-0.758657\pi\) | ||||
−0.726073 | + | 0.687617i | \(0.758657\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.21746 | 1.10873 | ||||||||
\(5\) | 0.146246 | 0.0654030 | 0.0327015 | − | 0.999465i | \(-0.489589\pi\) | ||||
0.0327015 | + | 0.999465i | \(0.489589\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −0.446582 | −0.157891 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.300337 | −0.0949748 | ||||||||
\(11\) | −1.66404 | −0.501727 | −0.250864 | − | 0.968022i | \(-0.580715\pi\) | ||||
−0.250864 | + | 0.968022i | \(0.580715\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.199891 | −0.0554397 | −0.0277199 | − | 0.999616i | \(-0.508825\pi\) | ||||
−0.0277199 | + | 0.999616i | \(0.508825\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.51780 | −0.879449 | ||||||||
\(17\) | 6.27110 | 1.52097 | 0.760483 | − | 0.649358i | \(-0.224962\pi\) | ||||
0.760483 | + | 0.649358i | \(0.224962\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.91758 | −1.58700 | −0.793500 | − | 0.608570i | \(-0.791744\pi\) | ||||
−0.793500 | + | 0.608570i | \(0.791744\pi\) | |||||||
\(20\) | 0.324294 | 0.0725143 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.41735 | 0.728581 | ||||||||
\(23\) | 6.18184 | 1.28900 | 0.644501 | − | 0.764604i | \(-0.277065\pi\) | ||||
0.644501 | + | 0.764604i | \(0.277065\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.97861 | −0.995722 | ||||||||
\(26\) | 0.410505 | 0.0805066 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.93514 | −0.916433 | −0.458217 | − | 0.888841i | \(-0.651512\pi\) | ||||
−0.458217 | + | 0.888841i | \(0.651512\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.51780 | −0.452209 | −0.226105 | − | 0.974103i | \(-0.572599\pi\) | ||||
−0.226105 | + | 0.974103i | \(0.572599\pi\) | |||||||
\(32\) | 8.11747 | 1.43498 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −12.8786 | −2.20867 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.00046 | 1.15087 | 0.575434 | − | 0.817848i | \(-0.304833\pi\) | ||||
0.575434 | + | 0.817848i | \(0.304833\pi\) | |||||||
\(38\) | 14.2062 | 2.30456 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.0653107 | −0.0103265 | ||||||||
\(41\) | 2.31790 | 0.361996 | 0.180998 | − | 0.983483i | \(-0.442067\pi\) | ||||
0.180998 | + | 0.983483i | \(0.442067\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.88199 | 0.287000 | 0.143500 | − | 0.989650i | \(-0.454164\pi\) | ||||
0.143500 | + | 0.989650i | \(0.454164\pi\) | |||||||
\(44\) | −3.68994 | −0.556280 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −12.6953 | −1.87182 | ||||||||
\(47\) | 1.81177 | 0.264275 | 0.132137 | − | 0.991231i | \(-0.457816\pi\) | ||||
0.132137 | + | 0.991231i | \(0.457816\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 10.2243 | 1.44593 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.443250 | −0.0614677 | ||||||||
\(53\) | −5.34614 | −0.734348 | −0.367174 | − | 0.930152i | \(-0.619675\pi\) | ||||
−0.367174 | + | 0.930152i | \(0.619675\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.243359 | −0.0328145 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 10.1350 | 1.33080 | ||||||||
\(59\) | 4.57099 | 0.595092 | 0.297546 | − | 0.954708i | \(-0.403832\pi\) | ||||
0.297546 | + | 0.954708i | \(0.403832\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.678276 | −0.0868443 | −0.0434221 | − | 0.999057i | \(-0.513826\pi\) | ||||
−0.0434221 | + | 0.999057i | \(0.513826\pi\) | |||||||
\(62\) | 5.17066 | 0.656674 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −9.63481 | −1.20435 | ||||||||
\(65\) | −0.0292332 | −0.00362593 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.18684 | −0.755842 | −0.377921 | − | 0.925838i | \(-0.623361\pi\) | ||||
−0.377921 | + | 0.925838i | \(0.623361\pi\) | |||||||
\(68\) | 13.9059 | 1.68634 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.27749 | −0.151611 | −0.0758053 | − | 0.997123i | \(-0.524153\pi\) | ||||
−0.0758053 | + | 0.997123i | \(0.524153\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.55721 | 0.182257 | 0.0911286 | − | 0.995839i | \(-0.470953\pi\) | ||||
0.0911286 | + | 0.995839i | \(0.470953\pi\) | |||||||
\(74\) | −14.3765 | −1.67123 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −15.3394 | −1.75955 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.7957 | 1.43963 | 0.719817 | − | 0.694164i | \(-0.244226\pi\) | ||||
0.719817 | + | 0.694164i | \(0.244226\pi\) | |||||||
\(80\) | −0.514462 | −0.0575186 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.76015 | −0.525671 | ||||||||
\(83\) | 7.51374 | 0.824740 | 0.412370 | − | 0.911016i | \(-0.364701\pi\) | ||||
0.412370 | + | 0.911016i | \(0.364701\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.917122 | 0.0994758 | ||||||||
\(86\) | −3.86493 | −0.416766 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.743131 | 0.0792181 | ||||||||
\(89\) | 9.06788 | 0.961193 | 0.480597 | − | 0.876942i | \(-0.340420\pi\) | ||||
0.480597 | + | 0.876942i | \(0.340420\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 13.7080 | 1.42915 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.72074 | −0.383765 | ||||||||
\(95\) | −1.01167 | −0.103795 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.97028 | 0.809259 | 0.404630 | − | 0.914481i | \(-0.367400\pi\) | ||||
0.404630 | + | 0.914481i | \(0.367400\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −11.0399 | −1.10399 | ||||||||
\(101\) | −14.8430 | −1.47693 | −0.738467 | − | 0.674290i | \(-0.764450\pi\) | ||||
−0.738467 | + | 0.674290i | \(0.764450\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.203948 | −0.0200956 | −0.0100478 | − | 0.999950i | \(-0.503198\pi\) | ||||
−0.0100478 | + | 0.999950i | \(0.503198\pi\) | |||||||
\(104\) | 0.0892677 | 0.00875342 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.9791 | 1.06638 | ||||||||
\(107\) | 6.96889 | 0.673708 | 0.336854 | − | 0.941557i | \(-0.390637\pi\) | ||||
0.336854 | + | 0.941557i | \(0.390637\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.66116 | −0.638024 | −0.319012 | − | 0.947751i | \(-0.603351\pi\) | ||||
−0.319012 | + | 0.947751i | \(0.603351\pi\) | |||||||
\(110\) | 0.499772 | 0.0476514 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.0386468 | −0.00363558 | −0.00181779 | − | 0.999998i | \(-0.500579\pi\) | ||||
−0.00181779 | + | 0.999998i | \(0.500579\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.904067 | 0.0843047 | ||||||||
\(116\) | −10.9435 | −1.01608 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −9.38718 | −0.864160 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.23097 | −0.748270 | ||||||||
\(122\) | 1.39294 | 0.126111 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.58311 | −0.501378 | ||||||||
\(125\) | −1.45933 | −0.130526 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.4788 | 1.19605 | 0.598027 | − | 0.801476i | \(-0.295952\pi\) | ||||
0.598027 | + | 0.801476i | \(0.295952\pi\) | |||||||
\(128\) | 3.55154 | 0.313915 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0600345 | 0.00526538 | ||||||||
\(131\) | 19.8333 | 1.73284 | 0.866422 | − | 0.499312i | \(-0.166414\pi\) | ||||
0.866422 | + | 0.499312i | \(0.166414\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 12.7056 | 1.09759 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.80056 | −0.240146 | ||||||||
\(137\) | 6.44509 | 0.550642 | 0.275321 | − | 0.961352i | \(-0.411216\pi\) | ||||
0.275321 | + | 0.961352i | \(0.411216\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.5305 | −1.06283 | −0.531413 | − | 0.847113i | \(-0.678339\pi\) | ||||
−0.531413 | + | 0.847113i | \(0.678339\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.62352 | 0.220161 | ||||||||
\(143\) | 0.332626 | 0.0278156 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.721743 | −0.0599375 | ||||||||
\(146\) | −3.19795 | −0.264664 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 15.5232 | 1.27600 | ||||||||
\(149\) | −17.7673 | −1.45555 | −0.727776 | − | 0.685815i | \(-0.759446\pi\) | ||||
−0.727776 | + | 0.685815i | \(0.759446\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.46599 | 0.688953 | 0.344476 | − | 0.938795i | \(-0.388056\pi\) | ||||
0.344476 | + | 0.938795i | \(0.388056\pi\) | |||||||
\(152\) | 3.08927 | 0.250573 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.368217 | −0.0295759 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.69935 | 0.454858 | 0.227429 | − | 0.973795i | \(-0.426968\pi\) | ||||
0.227429 | + | 0.973795i | \(0.426968\pi\) | |||||||
\(158\) | −26.2779 | −2.09056 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.18714 | 0.0938520 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.12535 | 0.166470 | 0.0832349 | − | 0.996530i | \(-0.473475\pi\) | ||||
0.0832349 | + | 0.996530i | \(0.473475\pi\) | |||||||
\(164\) | 5.13986 | 0.401355 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −15.4306 | −1.19764 | ||||||||
\(167\) | −11.5745 | −0.895659 | −0.447829 | − | 0.894119i | \(-0.647803\pi\) | ||||
−0.447829 | + | 0.894119i | \(0.647803\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.9600 | −0.996926 | ||||||||
\(170\) | −1.88344 | −0.144453 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.17323 | 0.318206 | ||||||||
\(173\) | 15.9109 | 1.20968 | 0.604842 | − | 0.796345i | \(-0.293236\pi\) | ||||
0.604842 | + | 0.796345i | \(0.293236\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 5.85375 | 0.441243 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −18.6222 | −1.39579 | ||||||||
\(179\) | 7.75331 | 0.579509 | 0.289755 | − | 0.957101i | \(-0.406426\pi\) | ||||
0.289755 | + | 0.957101i | \(0.406426\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.1618 | −0.903982 | −0.451991 | − | 0.892022i | \(-0.649286\pi\) | ||||
−0.451991 | + | 0.892022i | \(0.649286\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.76070 | −0.203521 | ||||||||
\(185\) | 1.02379 | 0.0752703 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −10.4354 | −0.763110 | ||||||||
\(188\) | 4.01754 | 0.293009 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.07760 | 0.150725 | ||||||||
\(191\) | 4.96765 | 0.359447 | 0.179723 | − | 0.983717i | \(-0.442480\pi\) | ||||
0.179723 | + | 0.983717i | \(0.442480\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.9044 | −1.07284 | −0.536422 | − | 0.843950i | \(-0.680224\pi\) | ||||
−0.536422 | + | 0.843950i | \(0.680224\pi\) | |||||||
\(194\) | −16.3681 | −1.17516 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 21.2608 | 1.51477 | 0.757386 | − | 0.652968i | \(-0.226476\pi\) | ||||
0.757386 | + | 0.652968i | \(0.226476\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 19.9442 | 1.41380 | 0.706902 | − | 0.707311i | \(-0.250092\pi\) | ||||
0.706902 | + | 0.707311i | \(0.250092\pi\) | |||||||
\(200\) | 2.22336 | 0.157215 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 30.4823 | 2.14472 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.338983 | 0.0236756 | ||||||||
\(206\) | 0.418838 | 0.0291818 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.703175 | 0.0487564 | ||||||||
\(209\) | 11.5111 | 0.796241 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −23.5139 | −1.61876 | −0.809381 | − | 0.587284i | \(-0.800197\pi\) | ||||
−0.809381 | + | 0.587284i | \(0.800197\pi\) | |||||||
\(212\) | −11.8548 | −0.814193 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −14.3116 | −0.978323 | ||||||||
\(215\) | 0.275232 | 0.0187707 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 13.6797 | 0.926504 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.539638 | −0.0363824 | ||||||||
\(221\) | −1.25354 | −0.0843220 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.06104 | −0.271947 | −0.135974 | − | 0.990712i | \(-0.543416\pi\) | ||||
−0.135974 | + | 0.990712i | \(0.543416\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.0793667 | 0.00527940 | ||||||||
\(227\) | 3.85285 | 0.255723 | 0.127861 | − | 0.991792i | \(-0.459189\pi\) | ||||
0.127861 | + | 0.991792i | \(0.459189\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.1162 | 0.866746 | 0.433373 | − | 0.901215i | \(-0.357323\pi\) | ||||
0.433373 | + | 0.901215i | \(0.357323\pi\) | |||||||
\(230\) | −1.85663 | −0.122423 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.20395 | 0.144696 | ||||||||
\(233\) | −17.5023 | −1.14661 | −0.573307 | − | 0.819340i | \(-0.694340\pi\) | ||||
−0.573307 | + | 0.819340i | \(0.694340\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.264964 | 0.0172844 | ||||||||
\(236\) | 10.1360 | 0.659795 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.31714 | 0.473306 | 0.236653 | − | 0.971594i | \(-0.423949\pi\) | ||||
0.236653 | + | 0.971594i | \(0.423949\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.23107 | 0.401378 | 0.200689 | − | 0.979655i | \(-0.435682\pi\) | ||||
0.200689 | + | 0.979655i | \(0.435682\pi\) | |||||||
\(242\) | 16.9035 | 1.08660 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.50405 | −0.0962868 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.38276 | 0.0879829 | ||||||||
\(248\) | 1.12440 | 0.0713997 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.99694 | 0.189543 | ||||||||
\(251\) | −5.65283 | −0.356803 | −0.178402 | − | 0.983958i | \(-0.557093\pi\) | ||||
−0.178402 | + | 0.983958i | \(0.557093\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.2868 | −0.646727 | ||||||||
\(254\) | −27.6808 | −1.73684 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 11.9760 | 0.748501 | ||||||||
\(257\) | −11.8016 | −0.736166 | −0.368083 | − | 0.929793i | \(-0.619986\pi\) | ||||
−0.368083 | + | 0.929793i | \(0.619986\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −0.0648233 | −0.00402017 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −40.7306 | −2.51634 | ||||||||
\(263\) | 22.2401 | 1.37138 | 0.685691 | − | 0.727893i | \(-0.259500\pi\) | ||||
0.685691 | + | 0.727893i | \(0.259500\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.781849 | −0.0480286 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −13.7191 | −0.838024 | ||||||||
\(269\) | −2.38884 | −0.145650 | −0.0728251 | − | 0.997345i | \(-0.523201\pi\) | ||||
−0.0728251 | + | 0.997345i | \(0.523201\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 23.2258 | 1.41087 | 0.705435 | − | 0.708775i | \(-0.250752\pi\) | ||||
0.705435 | + | 0.708775i | \(0.250752\pi\) | |||||||
\(272\) | −22.0605 | −1.33761 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −13.2359 | −0.799612 | ||||||||
\(275\) | 8.28461 | 0.499581 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.61800 | −0.277469 | −0.138734 | − | 0.990330i | \(-0.544303\pi\) | ||||
−0.138734 | + | 0.990330i | \(0.544303\pi\) | |||||||
\(278\) | 25.7333 | 1.54338 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 11.8168 | 0.704933 | 0.352466 | − | 0.935825i | \(-0.385343\pi\) | ||||
0.352466 | + | 0.935825i | \(0.385343\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 15.8497 | 0.942165 | 0.471082 | − | 0.882089i | \(-0.343863\pi\) | ||||
0.471082 | + | 0.882089i | \(0.343863\pi\) | |||||||
\(284\) | −2.83279 | −0.168095 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.683097 | −0.0403924 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 22.3267 | 1.31334 | ||||||||
\(290\) | 1.48220 | 0.0870381 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.45304 | 0.202074 | ||||||||
\(293\) | 14.0961 | 0.823502 | 0.411751 | − | 0.911296i | \(-0.364917\pi\) | ||||
0.411751 | + | 0.911296i | \(0.364917\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.668487 | 0.0389208 | ||||||||
\(296\) | −3.12628 | −0.181711 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 36.4877 | 2.11367 | ||||||||
\(299\) | −1.23569 | −0.0714619 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −17.3861 | −1.00046 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 24.3346 | 1.39569 | ||||||||
\(305\) | −0.0991949 | −0.00567988 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.3916 | 1.56332 | 0.781660 | − | 0.623704i | \(-0.214373\pi\) | ||||
0.781660 | + | 0.623704i | \(0.214373\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.756186 | 0.0429485 | ||||||||
\(311\) | 14.0557 | 0.797026 | 0.398513 | − | 0.917163i | \(-0.369526\pi\) | ||||
0.398513 | + | 0.917163i | \(0.369526\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 21.7446 | 1.22908 | 0.614540 | − | 0.788886i | \(-0.289342\pi\) | ||||
0.614540 | + | 0.788886i | \(0.289342\pi\) | |||||||
\(314\) | −11.7045 | −0.660520 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 28.3740 | 1.59616 | ||||||||
\(317\) | −8.56297 | −0.480944 | −0.240472 | − | 0.970656i | \(-0.577302\pi\) | ||||
−0.240472 | + | 0.970656i | \(0.577302\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.21228 | 0.459799 | ||||||||
\(320\) | −1.40905 | −0.0787682 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −43.3808 | −2.41377 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.995179 | 0.0552026 | ||||||||
\(326\) | −4.36471 | −0.241739 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.03514 | −0.0571558 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.8472 | 0.596216 | 0.298108 | − | 0.954532i | \(-0.403644\pi\) | ||||
0.298108 | + | 0.954532i | \(0.403644\pi\) | |||||||
\(332\) | 16.6614 | 0.914413 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 23.7698 | 1.30063 | ||||||||
\(335\) | −0.904798 | −0.0494344 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.34822 | −0.182389 | −0.0911945 | − | 0.995833i | \(-0.529069\pi\) | ||||
−0.0911945 | + | 0.995833i | \(0.529069\pi\) | |||||||
\(338\) | 26.6153 | 1.44768 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.03368 | 0.110292 | ||||||||
\(341\) | 4.18971 | 0.226886 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.840462 | −0.0453147 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −32.6754 | −1.75664 | ||||||||
\(347\) | 11.5330 | 0.619126 | 0.309563 | − | 0.950879i | \(-0.399817\pi\) | ||||
0.309563 | + | 0.950879i | \(0.399817\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.89834 | 0.476317 | 0.238159 | − | 0.971226i | \(-0.423456\pi\) | ||||
0.238159 | + | 0.971226i | \(0.423456\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −13.5078 | −0.719968 | ||||||||
\(353\) | 2.64699 | 0.140885 | 0.0704424 | − | 0.997516i | \(-0.477559\pi\) | ||||
0.0704424 | + | 0.997516i | \(0.477559\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.186828 | −0.00991579 | ||||||||
\(356\) | 20.1076 | 1.06570 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −15.9225 | −0.841533 | ||||||||
\(359\) | −25.9671 | −1.37049 | −0.685245 | − | 0.728312i | \(-0.740305\pi\) | ||||
−0.685245 | + | 0.728312i | \(0.740305\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 28.8529 | 1.51857 | ||||||||
\(362\) | 24.9761 | 1.31271 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.227735 | 0.0119202 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.5874 | 0.918056 | 0.459028 | − | 0.888422i | \(-0.348198\pi\) | ||||
0.459028 | + | 0.888422i | \(0.348198\pi\) | |||||||
\(368\) | −21.7464 | −1.13361 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.10249 | −0.109303 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.815075 | 0.0422030 | 0.0211015 | − | 0.999777i | \(-0.493283\pi\) | ||||
0.0211015 | + | 0.999777i | \(0.493283\pi\) | |||||||
\(374\) | 21.4306 | 1.10815 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.809107 | −0.0417265 | ||||||||
\(377\) | 0.986490 | 0.0508068 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.4312 | −1.04948 | −0.524741 | − | 0.851262i | \(-0.675838\pi\) | ||||
−0.524741 | + | 0.851262i | \(0.675838\pi\) | |||||||
\(380\) | −2.24333 | −0.115080 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.2018 | −0.521969 | ||||||||
\(383\) | −17.8928 | −0.914278 | −0.457139 | − | 0.889395i | \(-0.651126\pi\) | ||||
−0.457139 | + | 0.889395i | \(0.651126\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 30.6084 | 1.55793 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 17.6738 | 0.897249 | ||||||||
\(389\) | −15.6278 | −0.792363 | −0.396181 | − | 0.918172i | \(-0.629665\pi\) | ||||
−0.396181 | + | 0.918172i | \(0.629665\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 38.7669 | 1.96053 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −43.6622 | −2.19967 | ||||||||
\(395\) | 1.87132 | 0.0941564 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −19.2613 | −0.966696 | −0.483348 | − | 0.875428i | \(-0.660579\pi\) | ||||
−0.483348 | + | 0.875428i | \(0.660579\pi\) | |||||||
\(398\) | −40.9582 | −2.05305 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 17.5137 | 0.875687 | ||||||||
\(401\) | −14.3013 | −0.714172 | −0.357086 | − | 0.934072i | \(-0.616230\pi\) | ||||
−0.357086 | + | 0.934072i | \(0.616230\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.503284 | 0.0250704 | ||||||||
\(404\) | −32.9137 | −1.63752 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −11.6490 | −0.577422 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 31.8610 | 1.57542 | 0.787712 | − | 0.616044i | \(-0.211266\pi\) | ||||
0.787712 | + | 0.616044i | \(0.211266\pi\) | |||||||
\(410\) | −0.696152 | −0.0343805 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.452247 | −0.0222806 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.09885 | 0.0539405 | ||||||||
\(416\) | −1.62261 | −0.0795549 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −23.6398 | −1.15626 | ||||||||
\(419\) | 23.8960 | 1.16739 | 0.583697 | − | 0.811971i | \(-0.301605\pi\) | ||||
0.583697 | + | 0.811971i | \(0.301605\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.44501 | 0.119163 | 0.0595813 | − | 0.998223i | \(-0.481023\pi\) | ||||
0.0595813 | + | 0.998223i | \(0.481023\pi\) | |||||||
\(422\) | 48.2892 | 2.35068 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.38749 | 0.115947 | ||||||||
\(425\) | −31.2214 | −1.51446 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 15.4532 | 0.746960 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.565230 | −0.0272578 | ||||||||
\(431\) | 4.92764 | 0.237356 | 0.118678 | − | 0.992933i | \(-0.462134\pi\) | ||||
0.118678 | + | 0.992933i | \(0.462134\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 30.8539 | 1.48274 | 0.741371 | − | 0.671095i | \(-0.234176\pi\) | ||||
0.741371 | + | 0.671095i | \(0.234176\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −14.7709 | −0.707395 | ||||||||
\(437\) | −42.7633 | −2.04565 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.44822 | 0.116847 | 0.0584235 | − | 0.998292i | \(-0.481393\pi\) | ||||
0.0584235 | + | 0.998292i | \(0.481393\pi\) | |||||||
\(440\) | 0.108680 | 0.00518110 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.57432 | 0.122448 | ||||||||
\(443\) | 26.2950 | 1.24931 | 0.624657 | − | 0.780899i | \(-0.285239\pi\) | ||||
0.624657 | + | 0.780899i | \(0.285239\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.32614 | 0.0628650 | ||||||||
\(446\) | 8.33993 | 0.394907 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 38.7077 | 1.82673 | 0.913365 | − | 0.407141i | \(-0.133474\pi\) | ||||
0.913365 | + | 0.407141i | \(0.133474\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.85709 | −0.181623 | ||||||||
\(452\) | −0.0856976 | −0.00403087 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −7.91239 | −0.371347 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.15511 | −0.428258 | −0.214129 | − | 0.976805i | \(-0.568691\pi\) | ||||
−0.214129 | + | 0.976805i | \(0.568691\pi\) | |||||||
\(458\) | −26.9361 | −1.25864 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.00473 | 0.0934710 | ||||||||
\(461\) | 29.2304 | 1.36140 | 0.680698 | − | 0.732564i | \(-0.261676\pi\) | ||||
0.680698 | + | 0.732564i | \(0.261676\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.4206 | 0.763131 | 0.381565 | − | 0.924342i | \(-0.375385\pi\) | ||||
0.381565 | + | 0.924342i | \(0.375385\pi\) | |||||||
\(464\) | 17.3608 | 0.805956 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 35.9435 | 1.66505 | ||||||||
\(467\) | 15.3726 | 0.711361 | 0.355680 | − | 0.934608i | \(-0.384249\pi\) | ||||
0.355680 | + | 0.934608i | \(0.384249\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −0.544142 | −0.0250994 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.04132 | −0.0939594 | ||||||||
\(473\) | −3.13170 | −0.143996 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 34.4399 | 1.58021 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −15.0268 | −0.687310 | ||||||||
\(479\) | 37.9291 | 1.73303 | 0.866513 | − | 0.499155i | \(-0.166356\pi\) | ||||
0.866513 | + | 0.499155i | \(0.166356\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.39933 | −0.0638038 | ||||||||
\(482\) | −12.7964 | −0.582860 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −18.2518 | −0.829629 | ||||||||
\(485\) | 1.16562 | 0.0529280 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.60495 | −0.208670 | −0.104335 | − | 0.994542i | \(-0.533271\pi\) | ||||
−0.104335 | + | 0.994542i | \(0.533271\pi\) | |||||||
\(488\) | 0.302906 | 0.0137119 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −30.3751 | −1.37081 | −0.685405 | − | 0.728162i | \(-0.740375\pi\) | ||||
−0.685405 | + | 0.728162i | \(0.740375\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −30.9488 | −1.39386 | ||||||||
\(494\) | −2.83970 | −0.127764 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.85709 | 0.397695 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.26871 | 0.414925 | 0.207462 | − | 0.978243i | \(-0.433480\pi\) | ||||
0.207462 | + | 0.978243i | \(0.433480\pi\) | |||||||
\(500\) | −3.23600 | −0.144718 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.6089 | 0.518131 | ||||||||
\(503\) | 22.4230 | 0.999791 | 0.499896 | − | 0.866086i | \(-0.333372\pi\) | ||||
0.499896 | + | 0.866086i | \(0.333372\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.17072 | −0.0965960 | ||||||||
\(506\) | 21.1255 | 0.939143 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 29.8888 | 1.32610 | ||||||||
\(509\) | 37.6414 | 1.66843 | 0.834213 | − | 0.551443i | \(-0.185923\pi\) | ||||
0.834213 | + | 0.551443i | \(0.185923\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −31.6976 | −1.40085 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 24.2364 | 1.06902 | ||||||||
\(515\) | −0.0298266 | −0.00131432 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.01487 | −0.132594 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.0130550 | 0.000572500 0 | ||||||||
\(521\) | 34.9283 | 1.53023 | 0.765117 | − | 0.643891i | \(-0.222681\pi\) | ||||
0.765117 | + | 0.643891i | \(0.222681\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 23.7471 | 1.03839 | 0.519194 | − | 0.854656i | \(-0.326232\pi\) | ||||
0.519194 | + | 0.854656i | \(0.326232\pi\) | |||||||
\(524\) | 43.9795 | 1.92126 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −45.6732 | −1.99145 | ||||||||
\(527\) | −15.7894 | −0.687795 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 15.2151 | 0.661526 | ||||||||
\(530\) | 1.60564 | 0.0697446 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.463328 | −0.0200690 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.01917 | 0.0440626 | ||||||||
\(536\) | 2.76293 | 0.119340 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 4.90583 | 0.211505 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −17.1708 | −0.738232 | −0.369116 | − | 0.929383i | \(-0.620340\pi\) | ||||
−0.369116 | + | 0.929383i | \(0.620340\pi\) | |||||||
\(542\) | −47.6976 | −2.04879 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 50.9055 | 2.18255 | ||||||||
\(545\) | −0.974166 | −0.0417287 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.0091 | 0.855529 | 0.427765 | − | 0.903890i | \(-0.359301\pi\) | ||||
0.427765 | + | 0.903890i | \(0.359301\pi\) | |||||||
\(548\) | 14.2917 | 0.610512 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −17.0137 | −0.725465 | ||||||||
\(551\) | 34.1392 | 1.45438 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 9.48374 | 0.402926 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −27.7860 | −1.17839 | ||||||||
\(557\) | −0.245481 | −0.0104014 | −0.00520068 | − | 0.999986i | \(-0.501655\pi\) | ||||
−0.00520068 | + | 0.999986i | \(0.501655\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.376192 | −0.0159112 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −24.2676 | −1.02367 | ||||||||
\(563\) | 44.2509 | 1.86495 | 0.932477 | − | 0.361230i | \(-0.117643\pi\) | ||||
0.932477 | + | 0.361230i | \(0.117643\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.00565192 | −0.000237778 0 | ||||||||
\(566\) | −32.5496 | −1.36816 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.570506 | 0.0239379 | ||||||||
\(569\) | 5.53533 | 0.232053 | 0.116027 | − | 0.993246i | \(-0.462984\pi\) | ||||
0.116027 | + | 0.993246i | \(0.462984\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.10381 | −0.171739 | −0.0858696 | − | 0.996306i | \(-0.527367\pi\) | ||||
−0.0858696 | + | 0.996306i | \(0.527367\pi\) | |||||||
\(572\) | 0.737585 | 0.0308400 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −30.7770 | −1.28349 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.64550 | 0.235025 | 0.117513 | − | 0.993071i | \(-0.462508\pi\) | ||||
0.117513 | + | 0.993071i | \(0.462508\pi\) | |||||||
\(578\) | −45.8512 | −1.90716 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.60044 | −0.0664545 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.89619 | 0.368442 | ||||||||
\(584\) | −0.695420 | −0.0287767 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −28.9483 | −1.19585 | ||||||||
\(587\) | 18.7329 | 0.773189 | 0.386595 | − | 0.922250i | \(-0.373651\pi\) | ||||
0.386595 | + | 0.922250i | \(0.373651\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 17.4170 | 0.717657 | ||||||||
\(590\) | −1.37283 | −0.0565187 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −24.6262 | −1.01213 | ||||||||
\(593\) | −18.8703 | −0.774912 | −0.387456 | − | 0.921888i | \(-0.626646\pi\) | ||||
−0.387456 | + | 0.921888i | \(0.626646\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −39.3982 | −1.61381 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.53767 | 0.103773 | ||||||||
\(599\) | −2.67451 | −0.109278 | −0.0546388 | − | 0.998506i | \(-0.517401\pi\) | ||||
−0.0546388 | + | 0.998506i | \(0.517401\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.2143 | 0.539023 | 0.269511 | − | 0.962997i | \(-0.413138\pi\) | ||||
0.269511 | + | 0.962997i | \(0.413138\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 18.7730 | 0.763862 | ||||||||
\(605\) | −1.20374 | −0.0489391 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 25.8052 | 1.04740 | 0.523701 | − | 0.851902i | \(-0.324551\pi\) | ||||
0.523701 | + | 0.851902i | \(0.324551\pi\) | |||||||
\(608\) | −56.1532 | −2.27731 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.203711 | 0.00824802 | ||||||||
\(611\) | −0.362157 | −0.0146513 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −26.9533 | −1.08863 | −0.544316 | − | 0.838880i | \(-0.683211\pi\) | ||||
−0.544316 | + | 0.838880i | \(0.683211\pi\) | |||||||
\(614\) | −56.2526 | −2.27017 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −9.53175 | −0.383734 | −0.191867 | − | 0.981421i | \(-0.561454\pi\) | ||||
−0.191867 | + | 0.981421i | \(0.561454\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 34.7071 | 1.39500 | 0.697499 | − | 0.716586i | \(-0.254296\pi\) | ||||
0.697499 | + | 0.716586i | \(0.254296\pi\) | |||||||
\(620\) | −0.816505 | −0.0327916 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −28.8654 | −1.15740 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.6796 | 0.987186 | ||||||||
\(626\) | −44.6558 | −1.78480 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.6381 | 0.504314 | ||||||||
\(629\) | 43.9006 | 1.75043 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −36.7963 | −1.46484 | −0.732419 | − | 0.680854i | \(-0.761609\pi\) | ||||
−0.732419 | + | 0.680854i | \(0.761609\pi\) | |||||||
\(632\) | −5.71435 | −0.227305 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 17.5853 | 0.698401 | ||||||||
\(635\) | 1.97122 | 0.0782256 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −16.8651 | −0.667696 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.519397 | 0.0205310 | ||||||||
\(641\) | 44.1844 | 1.74518 | 0.872590 | − | 0.488454i | \(-0.162439\pi\) | ||||
0.872590 | + | 0.488454i | \(0.162439\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −14.4813 | −0.571087 | −0.285543 | − | 0.958366i | \(-0.592174\pi\) | ||||
−0.285543 | + | 0.958366i | \(0.592174\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 89.0889 | 3.50515 | ||||||||
\(647\) | −33.3071 | −1.30944 | −0.654719 | − | 0.755872i | \(-0.727213\pi\) | ||||
−0.654719 | + | 0.755872i | \(0.727213\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −7.60631 | −0.298574 | ||||||||
\(650\) | −2.04374 | −0.0801622 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.71286 | 0.184570 | ||||||||
\(653\) | 9.06643 | 0.354797 | 0.177398 | − | 0.984139i | \(-0.443232\pi\) | ||||
0.177398 | + | 0.984139i | \(0.443232\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.90054 | 0.113333 | ||||||||
\(656\) | −8.15391 | −0.318357 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 32.3611 | 1.26061 | 0.630305 | − | 0.776348i | \(-0.282930\pi\) | ||||
0.630305 | + | 0.776348i | \(0.282930\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.65915 | −0.336802 | −0.168401 | − | 0.985719i | \(-0.553860\pi\) | ||||
−0.168401 | + | 0.985719i | \(0.553860\pi\) | |||||||
\(662\) | −22.2763 | −0.865794 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.35550 | −0.130219 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −30.5083 | −1.18128 | ||||||||
\(668\) | −25.6659 | −0.993043 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.85813 | 0.0717860 | ||||||||
\(671\) | 1.12868 | 0.0435721 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.4968 | −0.558812 | −0.279406 | − | 0.960173i | \(-0.590138\pi\) | ||||
−0.279406 | + | 0.960173i | \(0.590138\pi\) | |||||||
\(674\) | 6.87605 | 0.264856 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −28.7384 | −1.10532 | ||||||||
\(677\) | −38.3315 | −1.47320 | −0.736600 | − | 0.676329i | \(-0.763570\pi\) | ||||
−0.736600 | + | 0.676329i | \(0.763570\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.409570 | −0.0157063 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.60418 | −0.329471 | ||||||||
\(683\) | −6.63318 | −0.253812 | −0.126906 | − | 0.991915i | \(-0.540505\pi\) | ||||
−0.126906 | + | 0.991915i | \(0.540505\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.942567 | 0.0360136 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −6.62044 | −0.252402 | ||||||||
\(689\) | 1.06864 | 0.0407121 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −23.3875 | −0.889704 | −0.444852 | − | 0.895604i | \(-0.646744\pi\) | ||||
−0.444852 | + | 0.895604i | \(0.646744\pi\) | |||||||
\(692\) | 35.2818 | 1.34121 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −23.6848 | −0.899061 | ||||||||
\(695\) | −1.83254 | −0.0695121 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14.5358 | 0.550583 | ||||||||
\(698\) | −18.2740 | −0.691683 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −9.26736 | −0.350023 | −0.175012 | − | 0.984566i | \(-0.555996\pi\) | ||||
−0.175012 | + | 0.984566i | \(0.555996\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −48.4262 | −1.82643 | ||||||||
\(704\) | 16.0327 | 0.604256 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.43597 | −0.204585 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.2355 | 0.534626 | 0.267313 | − | 0.963610i | \(-0.413864\pi\) | ||||
0.267313 | + | 0.963610i | \(0.413864\pi\) | |||||||
\(710\) | 0.383678 | 0.0143992 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.04956 | −0.151763 | ||||||||
\(713\) | −15.5646 | −0.582899 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.0486452 | 0.00181923 | ||||||||
\(716\) | 17.1926 | 0.642519 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 53.3272 | 1.99015 | ||||||||
\(719\) | 13.8570 | 0.516777 | 0.258389 | − | 0.966041i | \(-0.416808\pi\) | ||||
0.258389 | + | 0.966041i | \(0.416808\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −59.2536 | −2.20519 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −26.9684 | −1.00227 | ||||||||
\(725\) | 24.5702 | 0.912513 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −31.4000 | −1.16456 | −0.582280 | − | 0.812988i | \(-0.697839\pi\) | ||||
−0.582280 | + | 0.812988i | \(0.697839\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.467686 | −0.0173098 | ||||||||
\(731\) | 11.8021 | 0.436518 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −26.6006 | −0.982515 | −0.491257 | − | 0.871014i | \(-0.663463\pi\) | ||||
−0.491257 | + | 0.871014i | \(0.663463\pi\) | |||||||
\(734\) | −36.1183 | −1.33315 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 50.1809 | 1.84969 | ||||||||
\(737\) | 10.2951 | 0.379227 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −33.0039 | −1.21407 | −0.607034 | − | 0.794676i | \(-0.707641\pi\) | ||||
−0.607034 | + | 0.794676i | \(0.707641\pi\) | |||||||
\(740\) | 2.27020 | 0.0834543 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 38.6015 | 1.41615 | 0.708076 | − | 0.706136i | \(-0.249563\pi\) | ||||
0.708076 | + | 0.706136i | \(0.249563\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.59839 | −0.0951975 | ||||||||
\(746\) | −1.67388 | −0.0612849 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −23.1400 | −0.846082 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −37.8996 | −1.38297 | −0.691487 | − | 0.722389i | \(-0.743044\pi\) | ||||
−0.691487 | + | 0.722389i | \(0.743044\pi\) | |||||||
\(752\) | −6.37345 | −0.232416 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.02590 | −0.0737789 | ||||||||
\(755\) | 1.23811 | 0.0450596 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.5927 | 0.821147 | 0.410573 | − | 0.911828i | \(-0.365329\pi\) | ||||
0.410573 | + | 0.911828i | \(0.365329\pi\) | |||||||
\(758\) | 41.9585 | 1.52400 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.451792 | 0.0163882 | ||||||||
\(761\) | −27.7470 | −1.00583 | −0.502913 | − | 0.864337i | \(-0.667739\pi\) | ||||
−0.502913 | + | 0.864337i | \(0.667739\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 11.0156 | 0.398529 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 36.7454 | 1.32766 | ||||||||
\(767\) | −0.913698 | −0.0329917 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.1534 | 0.438262 | 0.219131 | − | 0.975695i | \(-0.429678\pi\) | ||||
0.219131 | + | 0.975695i | \(0.429678\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −33.0499 | −1.18949 | ||||||||
\(773\) | −41.5591 | −1.49478 | −0.747388 | − | 0.664388i | \(-0.768692\pi\) | ||||
−0.747388 | + | 0.664388i | \(0.768692\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.5351 | 0.450275 | ||||||||
\(776\) | −3.55939 | −0.127775 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 32.0940 | 1.15063 | ||||||||
\(779\) | −16.0343 | −0.574488 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.12580 | 0.0760671 | ||||||||
\(782\) | −79.6135 | −2.84697 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.833506 | 0.0297491 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −20.8969 | −0.744893 | −0.372446 | − | 0.928054i | \(-0.621481\pi\) | ||||
−0.372446 | + | 0.928054i | \(0.621481\pi\) | |||||||
\(788\) | 47.1450 | 1.67947 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.84303 | −0.136729 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.135581 | 0.00481462 | ||||||||
\(794\) | 39.5558 | 1.40378 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 44.2254 | 1.56753 | ||||||||
\(797\) | −0.638766 | −0.0226263 | −0.0113131 | − | 0.999936i | \(-0.503601\pi\) | ||||
−0.0113131 | + | 0.999936i | \(0.503601\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 11.3618 | 0.401953 | ||||||||
\(800\) | −40.4137 | −1.42884 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 29.3698 | 1.03708 | ||||||||
\(803\) | −2.59125 | −0.0914433 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1.03357 | −0.0364058 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.62862 | 0.233194 | ||||||||
\(809\) | 50.5592 | 1.77757 | 0.888783 | − | 0.458327i | \(-0.151551\pi\) | ||||
0.888783 | + | 0.458327i | \(0.151551\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.784071 | −0.0275325 | −0.0137662 | − | 0.999905i | \(-0.504382\pi\) | ||||
−0.0137662 | + | 0.999905i | \(0.504382\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 23.9230 | 0.838501 | ||||||||
\(815\) | 0.310823 | 0.0108876 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −13.0188 | −0.455470 | ||||||||
\(818\) | −65.4311 | −2.28775 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.751682 | 0.0262499 | ||||||||
\(821\) | −43.4413 | −1.51611 | −0.758056 | − | 0.652189i | \(-0.773851\pi\) | ||||
−0.758056 | + | 0.652189i | \(0.773851\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.96546 | 0.138227 | 0.0691136 | − | 0.997609i | \(-0.477983\pi\) | ||||
0.0691136 | + | 0.997609i | \(0.477983\pi\) | |||||||
\(824\) | 0.0910797 | 0.00317291 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −29.3159 | −1.01941 | −0.509707 | − | 0.860348i | \(-0.670246\pi\) | ||||
−0.509707 | + | 0.860348i | \(0.670246\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 35.0427 | 1.21708 | 0.608541 | − | 0.793522i | \(-0.291755\pi\) | ||||
0.608541 | + | 0.793522i | \(0.291755\pi\) | |||||||
\(830\) | −2.25665 | −0.0783295 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.92591 | 0.0667689 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.69272 | −0.0585788 | ||||||||
\(836\) | 25.5255 | 0.882816 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −49.0738 | −1.69523 | ||||||||
\(839\) | −37.5843 | −1.29755 | −0.648777 | − | 0.760979i | \(-0.724719\pi\) | ||||
−0.648777 | + | 0.760979i | \(0.724719\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.64435 | −0.160150 | ||||||||
\(842\) | −5.02119 | −0.173042 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −52.1411 | −1.79477 | ||||||||
\(845\) | −1.89535 | −0.0652020 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 18.8066 | 0.645822 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 64.1177 | 2.19922 | ||||||||
\(851\) | 43.2757 | 1.48347 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −32.7699 | −1.12202 | −0.561009 | − | 0.827810i | \(-0.689587\pi\) | ||||
−0.561009 | + | 0.827810i | \(0.689587\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.11218 | −0.106372 | ||||||||
\(857\) | −27.5347 | −0.940566 | −0.470283 | − | 0.882516i | \(-0.655848\pi\) | ||||
−0.470283 | + | 0.882516i | \(0.655848\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −46.5101 | −1.58690 | −0.793451 | − | 0.608634i | \(-0.791718\pi\) | ||||
−0.793451 | + | 0.608634i | \(0.791718\pi\) | |||||||
\(860\) | 0.610316 | 0.0208116 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −10.1196 | −0.344675 | ||||||||
\(863\) | 4.88014 | 0.166122 | 0.0830610 | − | 0.996544i | \(-0.473530\pi\) | ||||
0.0830610 | + | 0.996544i | \(0.473530\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.32690 | 0.0791170 | ||||||||
\(866\) | −63.3629 | −2.15316 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −21.2926 | −0.722303 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.23669 | 0.0419037 | ||||||||
\(872\) | 2.97476 | 0.100738 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 87.8207 | 2.97058 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 39.2892 | 1.32670 | 0.663352 | − | 0.748308i | \(-0.269133\pi\) | ||||
0.663352 | + | 0.748308i | \(0.269133\pi\) | |||||||
\(878\) | −5.02777 | −0.169679 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.856086 | 0.0288587 | ||||||||
\(881\) | −47.3713 | −1.59598 | −0.797990 | − | 0.602670i | \(-0.794103\pi\) | ||||
−0.797990 | + | 0.602670i | \(0.794103\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.67206 | −0.0899221 | −0.0449610 | − | 0.998989i | \(-0.514316\pi\) | ||||
−0.0449610 | + | 0.998989i | \(0.514316\pi\) | |||||||
\(884\) | −2.77966 | −0.0934902 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −54.0007 | −1.81419 | ||||||||
\(887\) | 22.9600 | 0.770922 | 0.385461 | − | 0.922724i | \(-0.374042\pi\) | ||||
0.385461 | + | 0.922724i | \(0.374042\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −2.72342 | −0.0912891 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −9.00518 | −0.301516 | ||||||||
\(893\) | −12.5331 | −0.419404 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.13389 | 0.0379017 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −79.4920 | −2.65268 | ||||||||
\(899\) | 12.4257 | 0.414420 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −33.5262 | −1.11692 | ||||||||
\(902\) | 7.92109 | 0.263743 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.0172590 | 0.000574024 0 | ||||||||
\(905\) | −1.77862 | −0.0591232 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −27.8982 | −0.926345 | −0.463173 | − | 0.886268i | \(-0.653289\pi\) | ||||
−0.463173 | + | 0.886268i | \(0.653289\pi\) | |||||||
\(908\) | 8.54354 | 0.283527 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −37.4762 | −1.24164 | −0.620820 | − | 0.783953i | \(-0.713200\pi\) | ||||
−0.620820 | + | 0.783953i | \(0.713200\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −12.5032 | −0.413794 | ||||||||
\(914\) | 18.8014 | 0.621894 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 29.0847 | 0.960987 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 30.2147 | 0.996691 | 0.498345 | − | 0.866979i | \(-0.333941\pi\) | ||||
0.498345 | + | 0.866979i | \(0.333941\pi\) | |||||||
\(920\) | −0.403740 | −0.0133109 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −60.0289 | −1.97695 | ||||||||
\(923\) | 0.255359 | 0.00840525 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −34.8526 | −1.14594 | ||||||||
\(926\) | −33.7221 | −1.10818 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −40.0609 | −1.31506 | ||||||||
\(929\) | 45.9351 | 1.50708 | 0.753540 | − | 0.657402i | \(-0.228344\pi\) | ||||
0.753540 | + | 0.657402i | \(0.228344\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −38.8106 | −1.27128 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −31.5699 | −1.03300 | ||||||||
\(935\) | −1.52613 | −0.0499097 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −45.3797 | −1.48249 | −0.741245 | − | 0.671235i | \(-0.765764\pi\) | ||||
−0.741245 | + | 0.671235i | \(0.765764\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.587547 | 0.0191637 | ||||||||
\(941\) | −49.4003 | −1.61040 | −0.805202 | − | 0.593000i | \(-0.797943\pi\) | ||||
−0.805202 | + | 0.593000i | \(0.797943\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 14.3289 | 0.466613 | ||||||||
\(944\) | −16.0798 | −0.523353 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.43141 | 0.209103 | ||||||||
\(947\) | −31.6505 | −1.02850 | −0.514252 | − | 0.857639i | \(-0.671930\pi\) | ||||
−0.514252 | + | 0.857639i | \(0.671930\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.311271 | −0.0101043 | ||||||||
\(950\) | −70.7274 | −2.29470 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 19.1237 | 0.619477 | 0.309739 | − | 0.950822i | \(-0.399758\pi\) | ||||
0.309739 | + | 0.950822i | \(0.399758\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.726498 | 0.0235089 | ||||||||
\(956\) | 16.2255 | 0.524769 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −77.8929 | −2.51661 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −24.6607 | −0.795507 | ||||||||
\(962\) | 2.87372 | 0.0926525 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 13.8171 | 0.445020 | ||||||||
\(965\) | −2.17971 | −0.0701673 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −9.97050 | −0.320630 | −0.160315 | − | 0.987066i | \(-0.551251\pi\) | ||||
−0.160315 | + | 0.987066i | \(0.551251\pi\) | |||||||
\(968\) | 3.67581 | 0.118145 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.39377 | −0.0768592 | ||||||||
\(971\) | 1.04511 | 0.0335391 | 0.0167695 | − | 0.999859i | \(-0.494662\pi\) | ||||
0.0167695 | + | 0.999859i | \(0.494662\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 9.45693 | 0.303020 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.38603 | 0.0763751 | ||||||||
\(977\) | 18.8862 | 0.604222 | 0.302111 | − | 0.953273i | \(-0.402309\pi\) | ||||
0.302111 | + | 0.953273i | \(0.402309\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −15.0893 | −0.482257 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 62.3797 | 1.99062 | ||||||||
\(983\) | −2.28891 | −0.0730050 | −0.0365025 | − | 0.999334i | \(-0.511622\pi\) | ||||
−0.0365025 | + | 0.999334i | \(0.511622\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.10930 | 0.0990707 | ||||||||
\(986\) | 63.5579 | 2.02409 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.06621 | 0.0975492 | ||||||||
\(989\) | 11.6341 | 0.369944 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.0698 | 0.605773 | 0.302886 | − | 0.953027i | \(-0.402050\pi\) | ||||
0.302886 | + | 0.953027i | \(0.402050\pi\) | |||||||
\(992\) | −20.4381 | −0.648911 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.91675 | 0.0924671 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 37.0151 | 1.17228 | 0.586139 | − | 0.810210i | \(-0.300647\pi\) | ||||
0.586139 | + | 0.810210i | \(0.300647\pi\) | |||||||
\(998\) | −19.0346 | −0.602531 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))