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: | \(3\) |
Coefficient field: | \(\Q(\zeta_{18})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - 3x - 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(-0.347296\) 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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.34730 | 0.952682 | 0.476341 | − | 0.879261i | \(-0.341963\pi\) | ||||
0.476341 | + | 0.879261i | \(0.341963\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.184793 | −0.0923963 | ||||||||
\(5\) | −2.53209 | −1.13238 | −0.566192 | − | 0.824273i | \(-0.691584\pi\) | ||||
−0.566192 | + | 0.824273i | \(0.691584\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −2.94356 | −1.04071 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.41147 | −1.07880 | ||||||||
\(11\) | 0.467911 | 0.141081 | 0.0705403 | − | 0.997509i | \(-0.477528\pi\) | ||||
0.0705403 | + | 0.997509i | \(0.477528\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.82295 | −1.61500 | −0.807498 | − | 0.589871i | \(-0.799179\pi\) | ||||
−0.807498 | + | 0.589871i | \(0.799179\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.59627 | −0.899067 | ||||||||
\(17\) | −3.87939 | −0.940889 | −0.470445 | − | 0.882430i | \(-0.655906\pi\) | ||||
−0.470445 | + | 0.882430i | \(0.655906\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.18479 | 0.501226 | 0.250613 | − | 0.968087i | \(-0.419368\pi\) | ||||
0.250613 | + | 0.968087i | \(0.419368\pi\) | |||||||
\(20\) | 0.467911 | 0.104628 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.630415 | 0.134405 | ||||||||
\(23\) | −0.106067 | −0.0221165 | −0.0110582 | − | 0.999939i | \(-0.503520\pi\) | ||||
−0.0110582 | + | 0.999939i | \(0.503520\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.41147 | 0.282295 | ||||||||
\(26\) | −7.84524 | −1.53858 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 8.78106 | 1.63060 | 0.815301 | − | 0.579038i | \(-0.196572\pi\) | ||||
0.815301 | + | 0.579038i | \(0.196572\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.68004 | 1.37938 | 0.689688 | − | 0.724106i | \(-0.257748\pi\) | ||||
0.689688 | + | 0.724106i | \(0.257748\pi\) | |||||||
\(32\) | 1.04189 | 0.184182 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.22668 | −0.896368 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.68004 | −1.26259 | −0.631296 | − | 0.775542i | \(-0.717477\pi\) | ||||
−0.631296 | + | 0.775542i | \(0.717477\pi\) | |||||||
\(38\) | 2.94356 | 0.477509 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 7.45336 | 1.17848 | ||||||||
\(41\) | 2.22668 | 0.347749 | 0.173875 | − | 0.984768i | \(-0.444371\pi\) | ||||
0.173875 | + | 0.984768i | \(0.444371\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.22668 | 0.187067 | 0.0935336 | − | 0.995616i | \(-0.470184\pi\) | ||||
0.0935336 | + | 0.995616i | \(0.470184\pi\) | |||||||
\(44\) | −0.0864665 | −0.0130353 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.142903 | −0.0210700 | ||||||||
\(47\) | 5.33275 | 0.777861 | 0.388931 | − | 0.921267i | \(-0.372845\pi\) | ||||
0.388931 | + | 0.921267i | \(0.372845\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 1.90167 | 0.268937 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.07604 | 0.149220 | ||||||||
\(53\) | −0.716881 | −0.0984712 | −0.0492356 | − | 0.998787i | \(-0.515679\pi\) | ||||
−0.0492356 | + | 0.998787i | \(0.515679\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.18479 | −0.159757 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 11.8307 | 1.55345 | ||||||||
\(59\) | −0.736482 | −0.0958818 | −0.0479409 | − | 0.998850i | \(-0.515266\pi\) | ||||
−0.0479409 | + | 0.998850i | \(0.515266\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.958111 | −0.122674 | −0.0613368 | − | 0.998117i | \(-0.519536\pi\) | ||||
−0.0613368 | + | 0.998117i | \(0.519536\pi\) | |||||||
\(62\) | 10.3473 | 1.31411 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.59627 | 1.07453 | ||||||||
\(65\) | 14.7442 | 1.82880 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.63816 | −1.17749 | −0.588744 | − | 0.808320i | \(-0.700377\pi\) | ||||
−0.588744 | + | 0.808320i | \(0.700377\pi\) | |||||||
\(68\) | 0.716881 | 0.0869346 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 13.2344 | 1.57064 | 0.785318 | − | 0.619092i | \(-0.212499\pi\) | ||||
0.785318 | + | 0.619092i | \(0.212499\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 10.2686 | 1.20185 | 0.600923 | − | 0.799307i | \(-0.294800\pi\) | ||||
0.600923 | + | 0.799307i | \(0.294800\pi\) | |||||||
\(74\) | −10.3473 | −1.20285 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.403733 | −0.0463114 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −12.6382 | −1.42190 | −0.710952 | − | 0.703241i | \(-0.751736\pi\) | ||||
−0.710952 | + | 0.703241i | \(0.751736\pi\) | |||||||
\(80\) | 9.10607 | 1.01809 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.00000 | 0.331295 | ||||||||
\(83\) | 2.73143 | 0.299813 | 0.149907 | − | 0.988700i | \(-0.452103\pi\) | ||||
0.149907 | + | 0.988700i | \(0.452103\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9.82295 | 1.06545 | ||||||||
\(86\) | 1.65270 | 0.178216 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.37733 | −0.146823 | ||||||||
\(89\) | 8.11381 | 0.860062 | 0.430031 | − | 0.902814i | \(-0.358503\pi\) | ||||
0.430031 | + | 0.902814i | \(0.358503\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.0196004 | 0.00204348 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.18479 | 0.741055 | ||||||||
\(95\) | −5.53209 | −0.567580 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.6040 | 1.38128 | 0.690639 | − | 0.723200i | \(-0.257329\pi\) | ||||
0.690639 | + | 0.723200i | \(0.257329\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.260830 | −0.0260830 | ||||||||
\(101\) | 9.57398 | 0.952646 | 0.476323 | − | 0.879270i | \(-0.341969\pi\) | ||||
0.476323 | + | 0.879270i | \(0.341969\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.04189 | −0.299726 | −0.149863 | − | 0.988707i | \(-0.547883\pi\) | ||||
−0.149863 | + | 0.988707i | \(0.547883\pi\) | |||||||
\(104\) | 17.1402 | 1.68074 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.965852 | −0.0938118 | ||||||||
\(107\) | −6.51754 | −0.630074 | −0.315037 | − | 0.949079i | \(-0.602017\pi\) | ||||
−0.315037 | + | 0.949079i | \(0.602017\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.6382 | 1.01895 | 0.509475 | − | 0.860485i | \(-0.329840\pi\) | ||||
0.509475 | + | 0.860485i | \(0.329840\pi\) | |||||||
\(110\) | −1.59627 | −0.152198 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.17705 | 0.487016 | 0.243508 | − | 0.969899i | \(-0.421702\pi\) | ||||
0.243508 | + | 0.969899i | \(0.421702\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.268571 | 0.0250443 | ||||||||
\(116\) | −1.62267 | −0.150662 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.992259 | −0.0913449 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.7811 | −0.980096 | ||||||||
\(122\) | −1.29086 | −0.116869 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.41921 | −0.127449 | ||||||||
\(125\) | 9.08647 | 0.812718 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.88207 | −0.788157 | −0.394078 | − | 0.919077i | \(-0.628936\pi\) | ||||
−0.394078 | + | 0.919077i | \(0.628936\pi\) | |||||||
\(128\) | 9.49794 | 0.839507 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 19.8648 | 1.74226 | ||||||||
\(131\) | −11.3628 | −0.992771 | −0.496385 | − | 0.868102i | \(-0.665340\pi\) | ||||
−0.496385 | + | 0.868102i | \(0.665340\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.9855 | −1.12177 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 11.4192 | 0.979190 | ||||||||
\(137\) | −5.72462 | −0.489087 | −0.244544 | − | 0.969638i | \(-0.578638\pi\) | ||||
−0.244544 | + | 0.969638i | \(0.578638\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.923963 | 0.0783695 | 0.0391847 | − | 0.999232i | \(-0.487524\pi\) | ||||
0.0391847 | + | 0.999232i | \(0.487524\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 17.8307 | 1.49632 | ||||||||
\(143\) | −2.72462 | −0.227844 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −22.2344 | −1.84647 | ||||||||
\(146\) | 13.8348 | 1.14498 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.41921 | 0.116659 | ||||||||
\(149\) | 8.72462 | 0.714749 | 0.357374 | − | 0.933961i | \(-0.383672\pi\) | ||||
0.357374 | + | 0.933961i | \(0.383672\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.4270 | 1.49956 | 0.749782 | − | 0.661685i | \(-0.230158\pi\) | ||||
0.749782 | + | 0.661685i | \(0.230158\pi\) | |||||||
\(152\) | −6.43107 | −0.521629 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −19.4466 | −1.56198 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.92396 | −0.392975 | −0.196488 | − | 0.980506i | \(-0.562954\pi\) | ||||
−0.196488 | + | 0.980506i | \(0.562954\pi\) | |||||||
\(158\) | −17.0273 | −1.35462 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.63816 | −0.208565 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.63816 | 0.598267 | 0.299133 | − | 0.954211i | \(-0.403302\pi\) | ||||
0.299133 | + | 0.954211i | \(0.403302\pi\) | |||||||
\(164\) | −0.411474 | −0.0321307 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.68004 | 0.285627 | ||||||||
\(167\) | 5.65539 | 0.437627 | 0.218814 | − | 0.975767i | \(-0.429781\pi\) | ||||
0.218814 | + | 0.975767i | \(0.429781\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 20.9067 | 1.60821 | ||||||||
\(170\) | 13.2344 | 1.01503 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.226682 | −0.0172843 | ||||||||
\(173\) | −21.0692 | −1.60186 | −0.800932 | − | 0.598755i | \(-0.795662\pi\) | ||||
−0.800932 | + | 0.598755i | \(0.795662\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.68273 | −0.126841 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.9317 | 0.819366 | ||||||||
\(179\) | −5.12061 | −0.382733 | −0.191366 | − | 0.981519i | \(-0.561292\pi\) | ||||
−0.191366 | + | 0.981519i | \(0.561292\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.319955 | 0.0237821 | 0.0118910 | − | 0.999929i | \(-0.496215\pi\) | ||||
0.0118910 | + | 0.999929i | \(0.496215\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.312214 | 0.0230168 | ||||||||
\(185\) | 19.4466 | 1.42974 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.81521 | −0.132741 | ||||||||
\(188\) | −0.985452 | −0.0718715 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.45336 | −0.540724 | ||||||||
\(191\) | −15.5672 | −1.12640 | −0.563200 | − | 0.826320i | \(-0.690430\pi\) | ||||
−0.563200 | + | 0.826320i | \(0.690430\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.04189 | 0.434905 | 0.217452 | − | 0.976071i | \(-0.430225\pi\) | ||||
0.217452 | + | 0.976071i | \(0.430225\pi\) | |||||||
\(194\) | 18.3286 | 1.31592 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 25.2344 | 1.79788 | 0.898939 | − | 0.438074i | \(-0.144339\pi\) | ||||
0.898939 | + | 0.438074i | \(0.144339\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.04189 | −0.215634 | −0.107817 | − | 0.994171i | \(-0.534386\pi\) | ||||
−0.107817 | + | 0.994171i | \(0.534386\pi\) | |||||||
\(200\) | −4.15476 | −0.293786 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 12.8990 | 0.907569 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.63816 | −0.393786 | ||||||||
\(206\) | −4.09833 | −0.285544 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 20.9409 | 1.45199 | ||||||||
\(209\) | 1.02229 | 0.0707132 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.45336 | −0.375425 | −0.187713 | − | 0.982224i | \(-0.560107\pi\) | ||||
−0.187713 | + | 0.982224i | \(0.560107\pi\) | |||||||
\(212\) | 0.132474 | 0.00909837 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −8.78106 | −0.600261 | ||||||||
\(215\) | −3.10607 | −0.211832 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 14.3327 | 0.970736 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.218941 | 0.0147610 | ||||||||
\(221\) | 22.5895 | 1.51953 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −14.1925 | −0.950402 | −0.475201 | − | 0.879877i | \(-0.657625\pi\) | ||||
−0.475201 | + | 0.879877i | \(0.657625\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.97502 | 0.463972 | ||||||||
\(227\) | 2.89393 | 0.192077 | 0.0960385 | − | 0.995378i | \(-0.469383\pi\) | ||||
0.0960385 | + | 0.995378i | \(0.469383\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.16756 | −0.605809 | −0.302905 | − | 0.953021i | \(-0.597956\pi\) | ||||
−0.302905 | + | 0.953021i | \(0.597956\pi\) | |||||||
\(230\) | 0.361844 | 0.0238593 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −25.8476 | −1.69698 | ||||||||
\(233\) | 13.2713 | 0.869429 | 0.434715 | − | 0.900568i | \(-0.356849\pi\) | ||||
0.434715 | + | 0.900568i | \(0.356849\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −13.5030 | −0.880838 | ||||||||
\(236\) | 0.136096 | 0.00885912 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 9.53714 | 0.616906 | 0.308453 | − | 0.951240i | \(-0.400189\pi\) | ||||
0.308453 | + | 0.951240i | \(0.400189\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.95811 | 0.577043 | 0.288521 | − | 0.957473i | \(-0.406836\pi\) | ||||
0.288521 | + | 0.957473i | \(0.406836\pi\) | |||||||
\(242\) | −14.5253 | −0.933720 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.177052 | 0.0113346 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.7219 | −0.809477 | ||||||||
\(248\) | −22.6067 | −1.43553 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 12.2422 | 0.774262 | ||||||||
\(251\) | 24.9982 | 1.57788 | 0.788938 | − | 0.614473i | \(-0.210631\pi\) | ||||
0.788938 | + | 0.614473i | \(0.210631\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0496299 | −0.00312020 | ||||||||
\(254\) | −11.9668 | −0.750863 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.39599 | −0.274750 | ||||||||
\(257\) | −10.8520 | −0.676932 | −0.338466 | − | 0.940979i | \(-0.609908\pi\) | ||||
−0.338466 | + | 0.940979i | \(0.609908\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −2.72462 | −0.168974 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −15.3090 | −0.945795 | ||||||||
\(263\) | 26.0874 | 1.60862 | 0.804309 | − | 0.594211i | \(-0.202536\pi\) | ||||
0.804309 | + | 0.594211i | \(0.202536\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.81521 | 0.111507 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.78106 | 0.108796 | ||||||||
\(269\) | 7.63310 | 0.465399 | 0.232699 | − | 0.972549i | \(-0.425244\pi\) | ||||
0.232699 | + | 0.972549i | \(0.425244\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.40373 | −0.206762 | −0.103381 | − | 0.994642i | \(-0.532966\pi\) | ||||
−0.103381 | + | 0.994642i | \(0.532966\pi\) | |||||||
\(272\) | 13.9513 | 0.845922 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.71276 | −0.465945 | ||||||||
\(275\) | 0.660444 | 0.0398263 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.72193 | −0.343798 | −0.171899 | − | 0.985115i | \(-0.554990\pi\) | ||||
−0.171899 | + | 0.985115i | \(0.554990\pi\) | |||||||
\(278\) | 1.24485 | 0.0746612 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 28.3773 | 1.69285 | 0.846425 | − | 0.532508i | \(-0.178751\pi\) | ||||
0.846425 | + | 0.532508i | \(0.178751\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.57129 | −0.271735 | −0.135867 | − | 0.990727i | \(-0.543382\pi\) | ||||
−0.135867 | + | 0.990727i | \(0.543382\pi\) | |||||||
\(284\) | −2.44562 | −0.145121 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.67087 | −0.217063 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.95037 | −0.114728 | ||||||||
\(290\) | −29.9564 | −1.75910 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.89756 | −0.111046 | ||||||||
\(293\) | −4.32770 | −0.252827 | −0.126413 | − | 0.991978i | \(-0.540347\pi\) | ||||
−0.126413 | + | 0.991978i | \(0.540347\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.86484 | 0.108575 | ||||||||
\(296\) | 22.6067 | 1.31399 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 11.7547 | 0.680929 | ||||||||
\(299\) | 0.617622 | 0.0357180 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 24.8266 | 1.42861 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.85710 | −0.450635 | ||||||||
\(305\) | 2.42602 | 0.138914 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.3773 | −0.706411 | −0.353206 | − | 0.935546i | \(-0.614908\pi\) | ||||
−0.353206 | + | 0.935546i | \(0.614908\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −26.2003 | −1.48808 | ||||||||
\(311\) | 21.9855 | 1.24668 | 0.623340 | − | 0.781951i | \(-0.285775\pi\) | ||||
0.623340 | + | 0.781951i | \(0.285775\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.8898 | 0.785099 | 0.392549 | − | 0.919731i | \(-0.371593\pi\) | ||||
0.392549 | + | 0.919731i | \(0.371593\pi\) | |||||||
\(314\) | −6.63404 | −0.374380 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.33544 | 0.131379 | ||||||||
\(317\) | −6.18210 | −0.347222 | −0.173611 | − | 0.984814i | \(-0.555543\pi\) | ||||
−0.173611 | + | 0.984814i | \(0.555543\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.10876 | 0.230046 | ||||||||
\(320\) | −21.7665 | −1.21678 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −8.47565 | −0.471598 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −8.21894 | −0.455905 | ||||||||
\(326\) | 10.2909 | 0.569958 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.55438 | −0.361905 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.7314 | 0.589853 | 0.294926 | − | 0.955520i | \(-0.404705\pi\) | ||||
0.294926 | + | 0.955520i | \(0.404705\pi\) | |||||||
\(332\) | −0.504748 | −0.0277016 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 7.61949 | 0.416920 | ||||||||
\(335\) | 24.4047 | 1.33337 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −18.5945 | −1.01291 | −0.506454 | − | 0.862267i | \(-0.669044\pi\) | ||||
−0.506454 | + | 0.862267i | \(0.669044\pi\) | |||||||
\(338\) | 28.1676 | 1.53211 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.81521 | −0.0984434 | ||||||||
\(341\) | 3.59358 | 0.194603 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −3.61081 | −0.194682 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −28.3865 | −1.52607 | ||||||||
\(347\) | −20.4124 | −1.09580 | −0.547898 | − | 0.836545i | \(-0.684572\pi\) | ||||
−0.547898 | + | 0.836545i | \(0.684572\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.56212 | 0.190676 | 0.0953379 | − | 0.995445i | \(-0.469607\pi\) | ||||
0.0953379 | + | 0.995445i | \(0.469607\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.487511 | 0.0259844 | ||||||||
\(353\) | −10.0223 | −0.533433 | −0.266716 | − | 0.963775i | \(-0.585939\pi\) | ||||
−0.266716 | + | 0.963775i | \(0.585939\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −33.5107 | −1.77857 | ||||||||
\(356\) | −1.49937 | −0.0794665 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.89899 | −0.364623 | ||||||||
\(359\) | 9.48070 | 0.500372 | 0.250186 | − | 0.968198i | \(-0.419508\pi\) | ||||
0.250186 | + | 0.968198i | \(0.419508\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −14.2267 | −0.748773 | ||||||||
\(362\) | 0.431074 | 0.0226568 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −26.0009 | −1.36095 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.1334 | −0.842157 | −0.421079 | − | 0.907024i | \(-0.638348\pi\) | ||||
−0.421079 | + | 0.907024i | \(0.638348\pi\) | |||||||
\(368\) | 0.381445 | 0.0198842 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 26.2003 | 1.36209 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.0496 | 0.727462 | 0.363731 | − | 0.931504i | \(-0.381503\pi\) | ||||
0.363731 | + | 0.931504i | \(0.381503\pi\) | |||||||
\(374\) | −2.44562 | −0.126460 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −15.6973 | −0.809525 | ||||||||
\(377\) | −51.1317 | −2.63341 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.0574 | 0.824812 | 0.412406 | − | 0.911000i | \(-0.364689\pi\) | ||||
0.412406 | + | 0.911000i | \(0.364689\pi\) | |||||||
\(380\) | 1.02229 | 0.0524423 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −20.9736 | −1.07310 | ||||||||
\(383\) | 32.0205 | 1.63617 | 0.818086 | − | 0.575095i | \(-0.195035\pi\) | ||||
0.818086 | + | 0.575095i | \(0.195035\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 8.14022 | 0.414326 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.51392 | −0.127625 | ||||||||
\(389\) | −30.0428 | −1.52323 | −0.761616 | − | 0.648029i | \(-0.775594\pi\) | ||||
−0.761616 | + | 0.648029i | \(0.775594\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.411474 | 0.0208091 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 33.9982 | 1.71281 | ||||||||
\(395\) | 32.0009 | 1.61014 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.3200 | 0.618321 | 0.309160 | − | 0.951010i | \(-0.399952\pi\) | ||||
0.309160 | + | 0.951010i | \(0.399952\pi\) | |||||||
\(398\) | −4.09833 | −0.205431 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.07604 | −0.253802 | ||||||||
\(401\) | 20.9760 | 1.04749 | 0.523745 | − | 0.851875i | \(-0.324535\pi\) | ||||
0.523745 | + | 0.851875i | \(0.324535\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −44.7205 | −2.22769 | ||||||||
\(404\) | −1.76920 | −0.0880210 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.59358 | −0.178127 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −25.6614 | −1.26887 | −0.634437 | − | 0.772975i | \(-0.718768\pi\) | ||||
−0.634437 | + | 0.772975i | \(0.718768\pi\) | |||||||
\(410\) | −7.59627 | −0.375153 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.562118 | 0.0276936 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.91622 | −0.339504 | ||||||||
\(416\) | −6.06687 | −0.297453 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.37733 | 0.0673672 | ||||||||
\(419\) | 1.47977 | 0.0722915 | 0.0361458 | − | 0.999347i | \(-0.488492\pi\) | ||||
0.0361458 | + | 0.999347i | \(0.488492\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.1070 | 0.638796 | 0.319398 | − | 0.947621i | \(-0.396519\pi\) | ||||
0.319398 | + | 0.947621i | \(0.396519\pi\) | |||||||
\(422\) | −7.34730 | −0.357661 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.11019 | 0.102480 | ||||||||
\(425\) | −5.47565 | −0.265608 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 1.20439 | 0.0582165 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.18479 | −0.201809 | ||||||||
\(431\) | 17.7270 | 0.853879 | 0.426939 | − | 0.904280i | \(-0.359592\pi\) | ||||
0.426939 | + | 0.904280i | \(0.359592\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.83843 | 0.280577 | 0.140289 | − | 0.990111i | \(-0.455197\pi\) | ||||
0.140289 | + | 0.990111i | \(0.455197\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.96585 | −0.0941472 | ||||||||
\(437\) | −0.231734 | −0.0110853 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −29.8553 | −1.42492 | −0.712459 | − | 0.701714i | \(-0.752418\pi\) | ||||
−0.712459 | + | 0.701714i | \(0.752418\pi\) | |||||||
\(440\) | 3.48751 | 0.166261 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 30.4347 | 1.44763 | ||||||||
\(443\) | 10.6655 | 0.506733 | 0.253367 | − | 0.967370i | \(-0.418462\pi\) | ||||
0.253367 | + | 0.967370i | \(0.418462\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −20.5449 | −0.973921 | ||||||||
\(446\) | −19.1215 | −0.905432 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 3.55438 | 0.167741 | 0.0838707 | − | 0.996477i | \(-0.473272\pi\) | ||||
0.0838707 | + | 0.996477i | \(0.473272\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.04189 | 0.0490606 | ||||||||
\(452\) | −0.956680 | −0.0449985 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.89899 | 0.182988 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.02322 | 0.234976 | 0.117488 | − | 0.993074i | \(-0.462516\pi\) | ||||
0.117488 | + | 0.993074i | \(0.462516\pi\) | |||||||
\(458\) | −12.3514 | −0.577144 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.0496299 | −0.00231400 | ||||||||
\(461\) | −18.4611 | −0.859819 | −0.429910 | − | 0.902872i | \(-0.641455\pi\) | ||||
−0.429910 | + | 0.902872i | \(0.641455\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.2344 | −0.661530 | −0.330765 | − | 0.943713i | \(-0.607307\pi\) | ||||
−0.330765 | + | 0.943713i | \(0.607307\pi\) | |||||||
\(464\) | −31.5790 | −1.46602 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 17.8803 | 0.828290 | ||||||||
\(467\) | 3.36865 | 0.155883 | 0.0779413 | − | 0.996958i | \(-0.475165\pi\) | ||||
0.0779413 | + | 0.996958i | \(0.475165\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −18.1925 | −0.839159 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.16788 | 0.0997848 | ||||||||
\(473\) | 0.573978 | 0.0263915 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.08378 | 0.141493 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 12.8494 | 0.587716 | ||||||||
\(479\) | 36.7665 | 1.67990 | 0.839952 | − | 0.542660i | \(-0.182583\pi\) | ||||
0.839952 | + | 0.542660i | \(0.182583\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 44.7205 | 2.03908 | ||||||||
\(482\) | 12.0692 | 0.549738 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.99226 | 0.0905572 | ||||||||
\(485\) | −34.4466 | −1.56414 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −37.4175 | −1.69555 | −0.847773 | − | 0.530358i | \(-0.822057\pi\) | ||||
−0.847773 | + | 0.530358i | \(0.822057\pi\) | |||||||
\(488\) | 2.82026 | 0.127667 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −26.6705 | −1.20363 | −0.601813 | − | 0.798637i | \(-0.705555\pi\) | ||||
−0.601813 | + | 0.798637i | \(0.705555\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −34.0651 | −1.53422 | ||||||||
\(494\) | −17.1402 | −0.771175 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −27.6195 | −1.24015 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 33.7452 | 1.51064 | 0.755320 | − | 0.655356i | \(-0.227481\pi\) | ||||
0.755320 | + | 0.655356i | \(0.227481\pi\) | |||||||
\(500\) | −1.67911 | −0.0750921 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 33.6800 | 1.50321 | ||||||||
\(503\) | 32.0401 | 1.42860 | 0.714299 | − | 0.699840i | \(-0.246745\pi\) | ||||
0.714299 | + | 0.699840i | \(0.246745\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −24.2422 | −1.07876 | ||||||||
\(506\) | −0.0668661 | −0.00297256 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.64134 | 0.0728227 | ||||||||
\(509\) | 7.93851 | 0.351868 | 0.175934 | − | 0.984402i | \(-0.443705\pi\) | ||||
0.175934 | + | 0.984402i | \(0.443705\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −24.9186 | −1.10126 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −14.6209 | −0.644901 | ||||||||
\(515\) | 7.70233 | 0.339405 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.49525 | 0.109741 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −43.4005 | −1.90324 | ||||||||
\(521\) | 14.6750 | 0.642923 | 0.321462 | − | 0.946923i | \(-0.395826\pi\) | ||||
0.321462 | + | 0.946923i | \(0.395826\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −28.3432 | −1.23936 | −0.619680 | − | 0.784854i | \(-0.712738\pi\) | ||||
−0.619680 | + | 0.784854i | \(0.712738\pi\) | |||||||
\(524\) | 2.09976 | 0.0917283 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 35.1475 | 1.53250 | ||||||||
\(527\) | −29.7939 | −1.29784 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.9887 | −0.999511 | ||||||||
\(530\) | 2.44562 | 0.106231 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.9659 | −0.561613 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 16.5030 | 0.713487 | ||||||||
\(536\) | 28.3705 | 1.22542 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.2841 | 0.443377 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.2858 | 0.485215 | 0.242607 | − | 0.970125i | \(-0.421997\pi\) | ||||
0.242607 | + | 0.970125i | \(0.421997\pi\) | |||||||
\(542\) | −4.58584 | −0.196979 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.04189 | −0.173295 | ||||||||
\(545\) | −26.9368 | −1.15384 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −29.2404 | −1.25023 | −0.625115 | − | 0.780533i | \(-0.714948\pi\) | ||||
−0.625115 | + | 0.780533i | \(0.714948\pi\) | |||||||
\(548\) | 1.05787 | 0.0451899 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.889814 | 0.0379418 | ||||||||
\(551\) | 19.1848 | 0.817300 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −7.70914 | −0.327530 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.170741 | −0.00724105 | ||||||||
\(557\) | −0.775682 | −0.0328667 | −0.0164334 | − | 0.999865i | \(-0.505231\pi\) | ||||
−0.0164334 | + | 0.999865i | \(0.505231\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.14290 | −0.302113 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 38.2327 | 1.61275 | ||||||||
\(563\) | −24.9522 | −1.05161 | −0.525806 | − | 0.850605i | \(-0.676236\pi\) | ||||
−0.525806 | + | 0.850605i | \(0.676236\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −13.1088 | −0.551489 | ||||||||
\(566\) | −6.15888 | −0.258877 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −38.9564 | −1.63457 | ||||||||
\(569\) | −24.8033 | −1.03981 | −0.519905 | − | 0.854224i | \(-0.674033\pi\) | ||||
−0.519905 | + | 0.854224i | \(0.674033\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.79654 | 0.368124 | 0.184062 | − | 0.982915i | \(-0.441075\pi\) | ||||
0.184062 | + | 0.982915i | \(0.441075\pi\) | |||||||
\(572\) | 0.503490 | 0.0210520 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.149711 | −0.00624336 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 12.8743 | 0.535965 | 0.267983 | − | 0.963424i | \(-0.413643\pi\) | ||||
0.267983 | + | 0.963424i | \(0.413643\pi\) | |||||||
\(578\) | −2.62773 | −0.109299 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.10876 | 0.170607 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.335437 | −0.0138924 | ||||||||
\(584\) | −30.2262 | −1.25077 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −5.83069 | −0.240864 | ||||||||
\(587\) | −44.8631 | −1.85170 | −0.925849 | − | 0.377894i | \(-0.876648\pi\) | ||||
−0.925849 | + | 0.377894i | \(0.876648\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 16.7793 | 0.691379 | ||||||||
\(590\) | 2.51249 | 0.103438 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 27.6195 | 1.13515 | ||||||||
\(593\) | −3.76053 | −0.154426 | −0.0772131 | − | 0.997015i | \(-0.524602\pi\) | ||||
−0.0772131 | + | 0.997015i | \(0.524602\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.61225 | −0.0660401 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.832119 | 0.0340279 | ||||||||
\(599\) | −3.69047 | −0.150789 | −0.0753943 | − | 0.997154i | \(-0.524022\pi\) | ||||
−0.0753943 | + | 0.997154i | \(0.524022\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.8571 | 0.891570 | 0.445785 | − | 0.895140i | \(-0.352925\pi\) | ||||
0.445785 | + | 0.895140i | \(0.352925\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.40516 | −0.138554 | ||||||||
\(605\) | 27.2986 | 1.10985 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −24.3946 | −0.990145 | −0.495072 | − | 0.868852i | \(-0.664858\pi\) | ||||
−0.495072 | + | 0.868852i | \(0.664858\pi\) | |||||||
\(608\) | 2.27631 | 0.0923166 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.26857 | 0.132341 | ||||||||
\(611\) | −31.0523 | −1.25624 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 42.0215 | 1.69723 | 0.848616 | − | 0.529010i | \(-0.177437\pi\) | ||||
0.848616 | + | 0.529010i | \(0.177437\pi\) | |||||||
\(614\) | −16.6759 | −0.672986 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 46.4097 | 1.86838 | 0.934192 | − | 0.356769i | \(-0.116122\pi\) | ||||
0.934192 | + | 0.356769i | \(0.116122\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 27.2094 | 1.09364 | 0.546820 | − | 0.837250i | \(-0.315838\pi\) | ||||
0.546820 | + | 0.837250i | \(0.315838\pi\) | |||||||
\(620\) | 3.59358 | 0.144322 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 29.6209 | 1.18769 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −30.0651 | −1.20260 | ||||||||
\(626\) | 18.7137 | 0.747950 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.909912 | 0.0363094 | ||||||||
\(629\) | 29.7939 | 1.18796 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −29.6023 | −1.17845 | −0.589224 | − | 0.807970i | \(-0.700566\pi\) | ||||
−0.589224 | + | 0.807970i | \(0.700566\pi\) | |||||||
\(632\) | 37.2012 | 1.47978 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −8.32913 | −0.330792 | ||||||||
\(635\) | 22.4902 | 0.892496 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 5.53571 | 0.219161 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −24.0496 | −0.950645 | ||||||||
\(641\) | −0.279000 | −0.0110198 | −0.00550991 | − | 0.999985i | \(-0.501754\pi\) | ||||
−0.00550991 | + | 0.999985i | \(0.501754\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 18.2439 | 0.719470 | 0.359735 | − | 0.933055i | \(-0.382867\pi\) | ||||
0.359735 | + | 0.933055i | \(0.382867\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −11.4192 | −0.449283 | ||||||||
\(647\) | −22.4570 | −0.882875 | −0.441438 | − | 0.897292i | \(-0.645531\pi\) | ||||
−0.441438 | + | 0.897292i | \(0.645531\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.344608 | −0.0135270 | ||||||||
\(650\) | −11.0733 | −0.434332 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.41147 | −0.0552776 | ||||||||
\(653\) | −50.5313 | −1.97744 | −0.988721 | − | 0.149771i | \(-0.952146\pi\) | ||||
−0.988721 | + | 0.149771i | \(0.952146\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 28.7716 | 1.12420 | ||||||||
\(656\) | −8.00774 | −0.312650 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.67263 | −0.104111 | −0.0520554 | − | 0.998644i | \(-0.516577\pi\) | ||||
−0.0520554 | + | 0.998644i | \(0.516577\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 34.6100 | 1.34617 | 0.673086 | − | 0.739564i | \(-0.264968\pi\) | ||||
0.673086 | + | 0.739564i | \(0.264968\pi\) | |||||||
\(662\) | 14.4584 | 0.561942 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −8.04013 | −0.312018 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.931379 | −0.0360631 | ||||||||
\(668\) | −1.04507 | −0.0404351 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 32.8803 | 1.27028 | ||||||||
\(671\) | −0.448311 | −0.0173068 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 16.5125 | 0.636510 | 0.318255 | − | 0.948005i | \(-0.396903\pi\) | ||||
0.318255 | + | 0.948005i | \(0.396903\pi\) | |||||||
\(674\) | −25.0523 | −0.964979 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.86341 | −0.148593 | ||||||||
\(677\) | 43.7579 | 1.68175 | 0.840877 | − | 0.541226i | \(-0.182040\pi\) | ||||
0.840877 | + | 0.541226i | \(0.182040\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −28.9145 | −1.10882 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.84161 | 0.185395 | ||||||||
\(683\) | 28.2412 | 1.08062 | 0.540310 | − | 0.841466i | \(-0.318307\pi\) | ||||
0.540310 | + | 0.841466i | \(0.318307\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.4953 | 0.553835 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.41147 | −0.168186 | ||||||||
\(689\) | 4.17436 | 0.159031 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 29.0651 | 1.10569 | 0.552844 | − | 0.833284i | \(-0.313542\pi\) | ||||
0.552844 | + | 0.833284i | \(0.313542\pi\) | |||||||
\(692\) | 3.89344 | 0.148006 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −27.5016 | −1.04395 | ||||||||
\(695\) | −2.33956 | −0.0887444 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.63816 | −0.327193 | ||||||||
\(698\) | 4.79923 | 0.181654 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.10876 | −0.0418771 | −0.0209386 | − | 0.999781i | \(-0.506665\pi\) | ||||
−0.0209386 | + | 0.999781i | \(0.506665\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −16.7793 | −0.632843 | ||||||||
\(704\) | 4.02229 | 0.151596 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −13.5030 | −0.508192 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −18.4688 | −0.693612 | −0.346806 | − | 0.937937i | \(-0.612734\pi\) | ||||
−0.346806 | + | 0.937937i | \(0.612734\pi\) | |||||||
\(710\) | −45.1489 | −1.69441 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −23.8835 | −0.895072 | ||||||||
\(713\) | −0.814598 | −0.0305069 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.89899 | 0.258007 | ||||||||
\(716\) | 0.946251 | 0.0353631 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 12.7733 | 0.476696 | ||||||||
\(719\) | 33.7769 | 1.25967 | 0.629834 | − | 0.776730i | \(-0.283123\pi\) | ||||
0.629834 | + | 0.776730i | \(0.283123\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −19.1676 | −0.713343 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.0591253 | −0.00219738 | ||||||||
\(725\) | 12.3942 | 0.460310 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.8043 | −0.623236 | −0.311618 | − | 0.950207i | \(-0.600871\pi\) | ||||
−0.311618 | + | 0.950207i | \(0.600871\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −35.0310 | −1.29655 | ||||||||
\(731\) | −4.75877 | −0.176009 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 13.6364 | 0.503672 | 0.251836 | − | 0.967770i | \(-0.418966\pi\) | ||||
0.251836 | + | 0.967770i | \(0.418966\pi\) | |||||||
\(734\) | −21.7365 | −0.802308 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.110510 | −0.00407345 | ||||||||
\(737\) | −4.50980 | −0.166121 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −32.0419 | −1.17868 | −0.589340 | − | 0.807885i | \(-0.700612\pi\) | ||||
−0.589340 | + | 0.807885i | \(0.700612\pi\) | |||||||
\(740\) | −3.59358 | −0.132103 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 33.7529 | 1.23827 | 0.619137 | − | 0.785283i | \(-0.287483\pi\) | ||||
0.619137 | + | 0.785283i | \(0.287483\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −22.0915 | −0.809371 | ||||||||
\(746\) | 18.9290 | 0.693040 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.335437 | 0.0122648 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 26.1165 | 0.953004 | 0.476502 | − | 0.879173i | \(-0.341904\pi\) | ||||
0.476502 | + | 0.879173i | \(0.341904\pi\) | |||||||
\(752\) | −19.1780 | −0.699349 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −68.8895 | −2.50881 | ||||||||
\(755\) | −46.6587 | −1.69808 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 35.6536 | 1.29585 | 0.647927 | − | 0.761703i | \(-0.275636\pi\) | ||||
0.647927 | + | 0.761703i | \(0.275636\pi\) | |||||||
\(758\) | 21.6340 | 0.785784 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 16.2841 | 0.590685 | ||||||||
\(761\) | −40.7648 | −1.47772 | −0.738861 | − | 0.673858i | \(-0.764636\pi\) | ||||
−0.738861 | + | 0.673858i | \(0.764636\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 2.87670 | 0.104075 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 43.1411 | 1.55875 | ||||||||
\(767\) | 4.28850 | 0.154849 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −39.4270 | −1.42177 | −0.710886 | − | 0.703307i | \(-0.751706\pi\) | ||||
−0.710886 | + | 0.703307i | \(0.751706\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.11650 | −0.0401836 | ||||||||
\(773\) | −24.9026 | −0.895685 | −0.447842 | − | 0.894113i | \(-0.647807\pi\) | ||||
−0.447842 | + | 0.894113i | \(0.647807\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 10.8402 | 0.389391 | ||||||||
\(776\) | −40.0443 | −1.43750 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −40.4766 | −1.45116 | ||||||||
\(779\) | 4.86484 | 0.174301 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.19253 | 0.221586 | ||||||||
\(782\) | 0.554378 | 0.0198245 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 12.4679 | 0.444999 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 30.7050 | 1.09452 | 0.547258 | − | 0.836964i | \(-0.315672\pi\) | ||||
0.547258 | + | 0.836964i | \(0.315672\pi\) | |||||||
\(788\) | −4.66313 | −0.166117 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 43.1147 | 1.53395 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.57903 | 0.198117 | ||||||||
\(794\) | 16.5986 | 0.589063 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.562118 | 0.0199238 | ||||||||
\(797\) | 11.0137 | 0.390126 | 0.195063 | − | 0.980791i | \(-0.437509\pi\) | ||||
0.195063 | + | 0.980791i | \(0.437509\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −20.6878 | −0.731881 | ||||||||
\(800\) | 1.47060 | 0.0519935 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 28.2608 | 0.997925 | ||||||||
\(803\) | 4.80478 | 0.169557 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −60.2518 | −2.12228 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −28.1816 | −0.991425 | ||||||||
\(809\) | 16.9881 | 0.597271 | 0.298636 | − | 0.954367i | \(-0.403468\pi\) | ||||
0.298636 | + | 0.954367i | \(0.403468\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −37.9796 | −1.33364 | −0.666822 | − | 0.745217i | \(-0.732346\pi\) | ||||
−0.666822 | + | 0.745217i | \(0.732346\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −4.84161 | −0.169699 | ||||||||
\(815\) | −19.3405 | −0.677468 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.68004 | 0.0937629 | ||||||||
\(818\) | −34.5735 | −1.20883 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.04189 | 0.0363843 | ||||||||
\(821\) | 8.27868 | 0.288928 | 0.144464 | − | 0.989510i | \(-0.453854\pi\) | ||||
0.144464 | + | 0.989510i | \(0.453854\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 54.5526 | 1.90158 | 0.950792 | − | 0.309829i | \(-0.100272\pi\) | ||||
0.950792 | + | 0.309829i | \(0.100272\pi\) | |||||||
\(824\) | 8.95399 | 0.311927 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −31.8708 | −1.10826 | −0.554129 | − | 0.832431i | \(-0.686948\pi\) | ||||
−0.554129 | + | 0.832431i | \(0.686948\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.352349 | 0.0122376 | 0.00611879 | − | 0.999981i | \(-0.498052\pi\) | ||||
0.00611879 | + | 0.999981i | \(0.498052\pi\) | |||||||
\(830\) | −9.31820 | −0.323439 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −50.0556 | −1.73537 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −14.3200 | −0.495562 | ||||||||
\(836\) | −0.188911 | −0.00653363 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 1.99369 | 0.0688709 | ||||||||
\(839\) | −25.0155 | −0.863630 | −0.431815 | − | 0.901962i | \(-0.642127\pi\) | ||||
−0.431815 | + | 0.901962i | \(0.642127\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 48.1070 | 1.65886 | ||||||||
\(842\) | 17.6590 | 0.608570 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.00774 | 0.0346879 | ||||||||
\(845\) | −52.9377 | −1.82111 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 2.57810 | 0.0885322 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −7.37733 | −0.253040 | ||||||||
\(851\) | 0.814598 | 0.0279241 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −39.1908 | −1.34187 | −0.670933 | − | 0.741518i | \(-0.734106\pi\) | ||||
−0.670933 | + | 0.741518i | \(0.734106\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 19.1848 | 0.655723 | ||||||||
\(857\) | −16.4074 | −0.560465 | −0.280232 | − | 0.959932i | \(-0.590411\pi\) | ||||
−0.280232 | + | 0.959932i | \(0.590411\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 26.8324 | 0.915511 | 0.457756 | − | 0.889078i | \(-0.348653\pi\) | ||||
0.457756 | + | 0.889078i | \(0.348653\pi\) | |||||||
\(860\) | 0.573978 | 0.0195725 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 23.8835 | 0.813475 | ||||||||
\(863\) | 14.5057 | 0.493779 | 0.246890 | − | 0.969044i | \(-0.420592\pi\) | ||||
0.246890 | + | 0.969044i | \(0.420592\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 53.3492 | 1.81393 | ||||||||
\(866\) | 7.86610 | 0.267301 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −5.91353 | −0.200603 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 56.1225 | 1.90164 | ||||||||
\(872\) | −31.3141 | −1.06043 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.312214 | −0.0105608 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 18.9145 | 0.638696 | 0.319348 | − | 0.947637i | \(-0.396536\pi\) | ||||
0.319348 | + | 0.947637i | \(0.396536\pi\) | |||||||
\(878\) | −40.2240 | −1.35749 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 4.26083 | 0.143633 | ||||||||
\(881\) | −53.8976 | −1.81585 | −0.907927 | − | 0.419128i | \(-0.862336\pi\) | ||||
−0.907927 | + | 0.419128i | \(0.862336\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 43.4252 | 1.46137 | 0.730687 | − | 0.682712i | \(-0.239200\pi\) | ||||
0.730687 | + | 0.682712i | \(0.239200\pi\) | |||||||
\(884\) | −4.17436 | −0.140399 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 14.3696 | 0.482756 | ||||||||
\(887\) | 38.9600 | 1.30815 | 0.654074 | − | 0.756431i | \(-0.273058\pi\) | ||||
0.654074 | + | 0.756431i | \(0.273058\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −27.6800 | −0.927837 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.62267 | 0.0878136 | ||||||||
\(893\) | 11.6509 | 0.389884 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 12.9659 | 0.433401 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 4.78880 | 0.159804 | ||||||||
\(899\) | 67.4389 | 2.24921 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.78106 | 0.0926505 | ||||||||
\(902\) | 1.40373 | 0.0467392 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −15.2390 | −0.506841 | ||||||||
\(905\) | −0.810155 | −0.0269305 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 34.5276 | 1.14647 | 0.573236 | − | 0.819390i | \(-0.305688\pi\) | ||||
0.573236 | + | 0.819390i | \(0.305688\pi\) | |||||||
\(908\) | −0.534777 | −0.0177472 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 46.5262 | 1.54148 | 0.770741 | − | 0.637148i | \(-0.219886\pi\) | ||||
0.770741 | + | 0.637148i | \(0.219886\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.27807 | 0.0422978 | ||||||||
\(914\) | 6.76777 | 0.223858 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.69410 | 0.0559745 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.95636 | −0.328430 | −0.164215 | − | 0.986425i | \(-0.552509\pi\) | ||||
−0.164215 | + | 0.986425i | \(0.552509\pi\) | |||||||
\(920\) | −0.790555 | −0.0260638 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −24.8726 | −0.819135 | ||||||||
\(923\) | −77.0634 | −2.53657 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10.8402 | −0.356423 | ||||||||
\(926\) | −19.1780 | −0.630228 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 9.14889 | 0.300327 | ||||||||
\(929\) | −9.04601 | −0.296790 | −0.148395 | − | 0.988928i | \(-0.547411\pi\) | ||||
−0.148395 | + | 0.988928i | \(0.547411\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −2.45243 | −0.0803320 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 4.53857 | 0.148507 | ||||||||
\(935\) | 4.59627 | 0.150314 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 24.3928 | 0.796878 | 0.398439 | − | 0.917195i | \(-0.369552\pi\) | ||||
0.398439 | + | 0.917195i | \(0.369552\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.49525 | 0.0813862 | ||||||||
\(941\) | 59.5381 | 1.94089 | 0.970443 | − | 0.241331i | \(-0.0775839\pi\) | ||||
0.970443 | + | 0.241331i | \(0.0775839\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.236177 | −0.00769098 | ||||||||
\(944\) | 2.64858 | 0.0862041 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.773318 | 0.0251428 | ||||||||
\(947\) | 8.64858 | 0.281041 | 0.140521 | − | 0.990078i | \(-0.455122\pi\) | ||||
0.140521 | + | 0.990078i | \(0.455122\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −59.7934 | −1.94097 | ||||||||
\(950\) | 4.15476 | 0.134798 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.78249 | 0.122527 | 0.0612634 | − | 0.998122i | \(-0.480487\pi\) | ||||
0.0612634 | + | 0.998122i | \(0.480487\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 39.4175 | 1.27552 | ||||||||
\(956\) | −1.76239 | −0.0569998 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 49.5354 | 1.60042 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 27.9831 | 0.902680 | ||||||||
\(962\) | 60.2518 | 1.94260 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.65539 | −0.0533166 | ||||||||
\(965\) | −15.2986 | −0.492479 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.9489 | −1.05957 | −0.529783 | − | 0.848133i | \(-0.677727\pi\) | ||||
−0.529783 | + | 0.848133i | \(0.677727\pi\) | |||||||
\(968\) | 31.7347 | 1.01999 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −46.4097 | −1.49013 | ||||||||
\(971\) | 55.4570 | 1.77970 | 0.889850 | − | 0.456254i | \(-0.150809\pi\) | ||||
0.889850 | + | 0.456254i | \(0.150809\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −50.4124 | −1.61532 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.44562 | 0.110292 | ||||||||
\(977\) | 56.5485 | 1.80915 | 0.904573 | − | 0.426318i | \(-0.140189\pi\) | ||||
0.904573 | + | 0.426318i | \(0.140189\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.79654 | 0.121338 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −35.9331 | −1.14667 | ||||||||
\(983\) | −28.9973 | −0.924871 | −0.462435 | − | 0.886653i | \(-0.653024\pi\) | ||||
−0.462435 | + | 0.886653i | \(0.653024\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −63.8958 | −2.03589 | ||||||||
\(986\) | −45.8958 | −1.46162 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.35092 | 0.0747927 | ||||||||
\(989\) | −0.130110 | −0.00413726 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.80922 | 0.216302 | 0.108151 | − | 0.994134i | \(-0.465507\pi\) | ||||
0.108151 | + | 0.994134i | \(0.465507\pi\) | |||||||
\(992\) | 8.00175 | 0.254056 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 7.70233 | 0.244180 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 38.9377 | 1.23317 | 0.616585 | − | 0.787289i | \(-0.288516\pi\) | ||||
0.616585 | + | 0.787289i | \(0.288516\pi\) | |||||||
\(998\) | 45.4647 | 1.43916 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))