Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [4225,2,Mod(1,4225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(4225, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("4225.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 4225 = 5^{2} \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4225.a (trivial) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | yes |
Analytic conductor: | \(33.7367948540\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.6.199374400.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 8x^{4} + 10x^{2} - 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.3 | ||
Root | \(-0.330837\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 4225.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.330837 | −0.233937 | −0.116968 | − | 0.993136i | \(-0.537318\pi\) | ||||
−0.116968 | + | 0.993136i | \(0.537318\pi\) | |||||||
\(3\) | −2.69180 | −1.55411 | −0.777057 | − | 0.629430i | \(-0.783288\pi\) | ||||
−0.777057 | + | 0.629430i | \(0.783288\pi\) | |||||||
\(4\) | −1.89055 | −0.945274 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.890547 | 0.363564 | ||||||||
\(7\) | −3.35348 | −1.26750 | −0.633748 | − | 0.773540i | \(-0.718484\pi\) | ||||
−0.633748 | + | 0.773540i | \(0.718484\pi\) | |||||||
\(8\) | 1.28714 | 0.455071 | ||||||||
\(9\) | 4.24581 | 1.41527 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.24581 | 0.978649 | 0.489324 | − | 0.872102i | \(-0.337243\pi\) | ||||
0.489324 | + | 0.872102i | \(0.337243\pi\) | |||||||
\(12\) | 5.08898 | 1.46906 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 1.10945 | 0.296514 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.35526 | 0.838816 | ||||||||
\(17\) | −1.94881 | −0.472655 | −0.236328 | − | 0.971673i | \(-0.575944\pi\) | ||||
−0.236328 | + | 0.971673i | \(0.575944\pi\) | |||||||
\(18\) | −1.40467 | −0.331084 | ||||||||
\(19\) | 1.24581 | 0.285808 | 0.142904 | − | 0.989737i | \(-0.454356\pi\) | ||||
0.142904 | + | 0.989737i | \(0.454356\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 9.02690 | 1.96983 | ||||||||
\(22\) | −1.07383 | −0.228942 | ||||||||
\(23\) | 2.69180 | 0.561280 | 0.280640 | − | 0.959813i | \(-0.409453\pi\) | ||||
0.280640 | + | 0.959813i | \(0.409453\pi\) | |||||||
\(24\) | −3.46472 | −0.707232 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.35348 | −0.645377 | ||||||||
\(28\) | 6.33991 | 1.19813 | ||||||||
\(29\) | 3.00000 | 0.557086 | 0.278543 | − | 0.960424i | \(-0.410149\pi\) | ||||
0.278543 | + | 0.960424i | \(0.410149\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.78109 | −0.679105 | −0.339552 | − | 0.940587i | \(-0.610276\pi\) | ||||
−0.339552 | + | 0.940587i | \(0.610276\pi\) | |||||||
\(32\) | −3.68431 | −0.651301 | ||||||||
\(33\) | −8.73709 | −1.52093 | ||||||||
\(34\) | 0.644737 | 0.110571 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −8.02690 | −1.33782 | ||||||||
\(37\) | −1.94881 | −0.320382 | −0.160191 | − | 0.987086i | \(-0.551211\pi\) | ||||
−0.160191 | + | 0.987086i | \(0.551211\pi\) | |||||||
\(38\) | −0.412160 | −0.0668611 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.78109 | −0.434334 | −0.217167 | − | 0.976134i | \(-0.569682\pi\) | ||||
−0.217167 | + | 0.976134i | \(0.569682\pi\) | |||||||
\(42\) | −2.98643 | −0.460816 | ||||||||
\(43\) | −8.73709 | −1.33239 | −0.666197 | − | 0.745776i | \(-0.732079\pi\) | ||||
−0.666197 | + | 0.745776i | \(0.732079\pi\) | |||||||
\(44\) | −6.13636 | −0.925091 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.890547 | −0.131304 | ||||||||
\(47\) | 6.86960 | 1.00203 | 0.501017 | − | 0.865437i | \(-0.332959\pi\) | ||||
0.501017 | + | 0.865437i | \(0.332959\pi\) | |||||||
\(48\) | −9.03171 | −1.30362 | ||||||||
\(49\) | 4.24581 | 0.606544 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 5.24581 | 0.734560 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −12.8336 | −1.76282 | −0.881412 | − | 0.472347i | \(-0.843407\pi\) | ||||
−0.881412 | + | 0.472347i | \(0.843407\pi\) | |||||||
\(54\) | 1.10945 | 0.150977 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −4.31638 | −0.576800 | ||||||||
\(57\) | −3.35348 | −0.444179 | ||||||||
\(58\) | −0.992510 | −0.130323 | ||||||||
\(59\) | 2.53528 | 0.330066 | 0.165033 | − | 0.986288i | \(-0.447227\pi\) | ||||
0.165033 | + | 0.986288i | \(0.447227\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.49162 | −0.959204 | −0.479602 | − | 0.877486i | \(-0.659219\pi\) | ||||
−0.479602 | + | 0.877486i | \(0.659219\pi\) | |||||||
\(62\) | 1.25092 | 0.158868 | ||||||||
\(63\) | −14.2382 | −1.79385 | ||||||||
\(64\) | −5.49162 | −0.686453 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.89055 | 0.355802 | ||||||||
\(67\) | 4.01515 | 0.490529 | 0.245264 | − | 0.969456i | \(-0.421125\pi\) | ||||
0.245264 | + | 0.969456i | \(0.421125\pi\) | |||||||
\(68\) | 3.68431 | 0.446789 | ||||||||
\(69\) | −7.24581 | −0.872293 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −5.24581 | −0.622563 | −0.311282 | − | 0.950318i | \(-0.600758\pi\) | ||||
−0.311282 | + | 0.950318i | \(0.600758\pi\) | |||||||
\(72\) | 5.46493 | 0.644048 | ||||||||
\(73\) | 5.46493 | 0.639622 | 0.319811 | − | 0.947481i | \(-0.396381\pi\) | ||||
0.319811 | + | 0.947481i | \(0.396381\pi\) | |||||||
\(74\) | 0.644737 | 0.0749491 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.35526 | −0.270167 | ||||||||
\(77\) | −10.8848 | −1.24043 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 13.7811 | 1.55049 | 0.775247 | − | 0.631658i | \(-0.217625\pi\) | ||||
0.775247 | + | 0.631658i | \(0.217625\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.71053 | −0.412281 | ||||||||
\(82\) | 0.920088 | 0.101607 | ||||||||
\(83\) | −8.61955 | −0.946119 | −0.473059 | − | 0.881031i | \(-0.656850\pi\) | ||||
−0.473059 | + | 0.881031i | \(0.656850\pi\) | |||||||
\(84\) | −17.0658 | −1.86203 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.89055 | 0.311696 | ||||||||
\(87\) | −8.07541 | −0.865775 | ||||||||
\(88\) | 4.17780 | 0.445355 | ||||||||
\(89\) | −10.3164 | −1.09353 | −0.546767 | − | 0.837285i | \(-0.684142\pi\) | ||||
−0.546767 | + | 0.837285i | \(0.684142\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −5.08898 | −0.530563 | ||||||||
\(93\) | 10.1780 | 1.05541 | ||||||||
\(94\) | −2.27271 | −0.234413 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 9.91745 | 1.01220 | ||||||||
\(97\) | 5.26607 | 0.534689 | 0.267344 | − | 0.963601i | \(-0.413854\pi\) | ||||
0.267344 | + | 0.963601i | \(0.413854\pi\) | |||||||
\(98\) | −1.40467 | −0.141893 | ||||||||
\(99\) | 13.7811 | 1.38505 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.71053 | 0.568219 | 0.284109 | − | 0.958792i | \(-0.408302\pi\) | ||||
0.284109 | + | 0.958792i | \(0.408302\pi\) | |||||||
\(102\) | −1.73551 | −0.171841 | ||||||||
\(103\) | −7.36863 | −0.726052 | −0.363026 | − | 0.931779i | \(-0.618256\pi\) | ||||
−0.363026 | + | 0.931779i | \(0.618256\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.24581 | 0.412390 | ||||||||
\(107\) | 8.57444 | 0.828922 | 0.414461 | − | 0.910067i | \(-0.363970\pi\) | ||||
0.414461 | + | 0.910067i | \(0.363970\pi\) | |||||||
\(108\) | 6.33991 | 0.610058 | ||||||||
\(109\) | 8.49162 | 0.813350 | 0.406675 | − | 0.913573i | \(-0.366688\pi\) | ||||
0.406675 | + | 0.913573i | \(0.366688\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.24581 | 0.497910 | ||||||||
\(112\) | −11.2518 | −1.06320 | ||||||||
\(113\) | −7.33242 | −0.689776 | −0.344888 | − | 0.938644i | \(-0.612083\pi\) | ||||
−0.344888 | + | 0.938644i | \(0.612083\pi\) | |||||||
\(114\) | 1.10945 | 0.103910 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −5.67164 | −0.526599 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.838765 | −0.0772145 | ||||||||
\(119\) | 6.53528 | 0.599089 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.464716 | −0.0422469 | ||||||||
\(122\) | 2.47850 | 0.224393 | ||||||||
\(123\) | 7.48616 | 0.675004 | ||||||||
\(124\) | 7.14834 | 0.641940 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 4.71053 | 0.419647 | ||||||||
\(127\) | −9.16369 | −0.813146 | −0.406573 | − | 0.913618i | \(-0.633276\pi\) | ||||
−0.406573 | + | 0.913618i | \(0.633276\pi\) | |||||||
\(128\) | 9.18546 | 0.811887 | ||||||||
\(129\) | 23.5185 | 2.07069 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.0000 | 0.873704 | 0.436852 | − | 0.899533i | \(-0.356093\pi\) | ||||
0.436852 | + | 0.899533i | \(0.356093\pi\) | |||||||
\(132\) | 16.5179 | 1.43770 | ||||||||
\(133\) | −4.17780 | −0.362261 | ||||||||
\(134\) | −1.32836 | −0.114753 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.50838 | −0.215092 | ||||||||
\(137\) | −16.8487 | −1.43948 | −0.719741 | − | 0.694242i | \(-0.755740\pi\) | ||||
−0.719741 | + | 0.694242i | \(0.755740\pi\) | |||||||
\(138\) | 2.39718 | 0.204061 | ||||||||
\(139\) | −1.02690 | −0.0871009 | −0.0435505 | − | 0.999051i | \(-0.513867\pi\) | ||||
−0.0435505 | + | 0.999051i | \(0.513867\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −18.4916 | −1.55728 | ||||||||
\(142\) | 1.73551 | 0.145640 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 14.2458 | 1.18715 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −1.80800 | −0.149631 | ||||||||
\(147\) | −11.4289 | −0.942639 | ||||||||
\(148\) | 3.68431 | 0.302849 | ||||||||
\(149\) | −15.8517 | −1.29862 | −0.649309 | − | 0.760524i | \(-0.724942\pi\) | ||||
−0.649309 | + | 0.760524i | \(0.724942\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.5454 | −1.18369 | −0.591845 | − | 0.806052i | \(-0.701600\pi\) | ||||
−0.591845 | + | 0.806052i | \(0.701600\pi\) | |||||||
\(152\) | 1.60353 | 0.130063 | ||||||||
\(153\) | −8.27427 | −0.668935 | ||||||||
\(154\) | 3.60107 | 0.290183 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.9210 | 0.871588 | 0.435794 | − | 0.900047i | \(-0.356468\pi\) | ||||
0.435794 | + | 0.900047i | \(0.356468\pi\) | |||||||
\(158\) | −4.55929 | −0.362718 | ||||||||
\(159\) | 34.5454 | 2.73963 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −9.02690 | −0.711420 | ||||||||
\(162\) | 1.22758 | 0.0964476 | ||||||||
\(163\) | 4.17780 | 0.327230 | 0.163615 | − | 0.986524i | \(-0.447684\pi\) | ||||
0.163615 | + | 0.986524i | \(0.447684\pi\) | |||||||
\(164\) | 5.25779 | 0.410564 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.85166 | 0.221332 | ||||||||
\(167\) | 3.35348 | 0.259500 | 0.129750 | − | 0.991547i | \(-0.458583\pi\) | ||||
0.129750 | + | 0.991547i | \(0.458583\pi\) | |||||||
\(168\) | 11.6188 | 0.896413 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 5.28947 | 0.404496 | ||||||||
\(172\) | 16.5179 | 1.25948 | ||||||||
\(173\) | 8.73709 | 0.664268 | 0.332134 | − | 0.943232i | \(-0.392231\pi\) | ||||
0.332134 | + | 0.943232i | \(0.392231\pi\) | |||||||
\(174\) | 2.67164 | 0.202537 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 10.8905 | 0.820906 | ||||||||
\(177\) | −6.82449 | −0.512960 | ||||||||
\(178\) | 3.41303 | 0.255818 | ||||||||
\(179\) | −18.0101 | −1.34614 | −0.673071 | − | 0.739578i | \(-0.735025\pi\) | ||||
−0.673071 | + | 0.739578i | \(0.735025\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.04366 | 0.0775749 | 0.0387875 | − | 0.999247i | \(-0.487650\pi\) | ||||
0.0387875 | + | 0.999247i | \(0.487650\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 20.1660 | 1.49071 | ||||||||
\(184\) | 3.46472 | 0.255422 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −3.36724 | −0.246898 | ||||||||
\(187\) | −6.32546 | −0.462564 | ||||||||
\(188\) | −12.9873 | −0.947197 | ||||||||
\(189\) | 11.2458 | 0.818012 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 25.5185 | 1.84646 | 0.923228 | − | 0.384253i | \(-0.125541\pi\) | ||||
0.923228 | + | 0.384253i | \(0.125541\pi\) | |||||||
\(192\) | 14.7824 | 1.06683 | ||||||||
\(193\) | 19.8207 | 1.42672 | 0.713362 | − | 0.700795i | \(-0.247171\pi\) | ||||
0.713362 | + | 0.700795i | \(0.247171\pi\) | |||||||
\(194\) | −1.74221 | −0.125083 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.02690 | −0.573350 | ||||||||
\(197\) | −21.6520 | −1.54264 | −0.771319 | − | 0.636448i | \(-0.780403\pi\) | ||||
−0.771319 | + | 0.636448i | \(0.780403\pi\) | |||||||
\(198\) | −4.55929 | −0.324015 | ||||||||
\(199\) | 18.2291 | 1.29222 | 0.646112 | − | 0.763243i | \(-0.276394\pi\) | ||||
0.646112 | + | 0.763243i | \(0.276394\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −10.8080 | −0.762337 | ||||||||
\(202\) | −1.88925 | −0.132927 | ||||||||
\(203\) | −10.0604 | −0.706104 | ||||||||
\(204\) | −9.91745 | −0.694361 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 2.43781 | 0.169850 | ||||||||
\(207\) | 11.4289 | 0.794363 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.04366 | 0.279706 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 19.2996 | 1.32864 | 0.664320 | − | 0.747448i | \(-0.268721\pi\) | ||||
0.664320 | + | 0.747448i | \(0.268721\pi\) | |||||||
\(212\) | 24.2624 | 1.66635 | ||||||||
\(213\) | 14.1207 | 0.967534 | ||||||||
\(214\) | −2.83674 | −0.193915 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −4.31638 | −0.293692 | ||||||||
\(217\) | 12.6798 | 0.860762 | ||||||||
\(218\) | −2.80934 | −0.190272 | ||||||||
\(219\) | −14.7105 | −0.994045 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −1.73551 | −0.116480 | ||||||||
\(223\) | −12.3707 | −0.828406 | −0.414203 | − | 0.910184i | \(-0.635940\pi\) | ||||
−0.414203 | + | 0.910184i | \(0.635940\pi\) | |||||||
\(224\) | 12.3553 | 0.825521 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.42583 | 0.161364 | ||||||||
\(227\) | 6.16282 | 0.409040 | 0.204520 | − | 0.978862i | \(-0.434437\pi\) | ||||
0.204520 | + | 0.978862i | \(0.434437\pi\) | |||||||
\(228\) | 6.33991 | 0.419871 | ||||||||
\(229\) | 26.9832 | 1.78310 | 0.891551 | − | 0.452920i | \(-0.149618\pi\) | ||||
0.891551 | + | 0.452920i | \(0.149618\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 29.2996 | 1.92777 | ||||||||
\(232\) | 3.86141 | 0.253514 | ||||||||
\(233\) | 0.824319 | 0.0540029 | 0.0270015 | − | 0.999635i | \(-0.491404\pi\) | ||||
0.0270015 | + | 0.999635i | \(0.491404\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −4.79307 | −0.312003 | ||||||||
\(237\) | −37.0960 | −2.40964 | ||||||||
\(238\) | −2.16211 | −0.140149 | ||||||||
\(239\) | −4.00000 | −0.258738 | −0.129369 | − | 0.991596i | \(-0.541295\pi\) | ||||
−0.129369 | + | 0.991596i | \(0.541295\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −22.6938 | −1.46183 | −0.730917 | − | 0.682466i | \(-0.760907\pi\) | ||||
−0.730917 | + | 0.682466i | \(0.760907\pi\) | |||||||
\(242\) | 0.153745 | 0.00988310 | ||||||||
\(243\) | 20.0484 | 1.28611 | ||||||||
\(244\) | 14.1633 | 0.906710 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.47670 | −0.157908 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −4.86678 | −0.309041 | ||||||||
\(249\) | 23.2021 | 1.47038 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 19.0269 | 1.20097 | 0.600484 | − | 0.799637i | \(-0.294975\pi\) | ||||
0.600484 | + | 0.799637i | \(0.294975\pi\) | |||||||
\(252\) | 26.9180 | 1.69568 | ||||||||
\(253\) | 8.73709 | 0.549296 | ||||||||
\(254\) | 3.03168 | 0.190225 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 7.94436 | 0.496522 | ||||||||
\(257\) | −2.11145 | −0.131709 | −0.0658544 | − | 0.997829i | \(-0.520977\pi\) | ||||
−0.0658544 | + | 0.997829i | \(0.520977\pi\) | |||||||
\(258\) | −7.78079 | −0.484411 | ||||||||
\(259\) | 6.53528 | 0.406083 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 12.7374 | 0.788427 | ||||||||
\(262\) | −3.30837 | −0.204391 | ||||||||
\(263\) | 29.9173 | 1.84478 | 0.922391 | − | 0.386257i | \(-0.126232\pi\) | ||||
0.922391 | + | 0.386257i | \(0.126232\pi\) | |||||||
\(264\) | −11.2458 | −0.692132 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 1.38217 | 0.0847461 | ||||||||
\(267\) | 27.7697 | 1.69948 | ||||||||
\(268\) | −7.59083 | −0.463684 | ||||||||
\(269\) | 18.5891 | 1.13340 | 0.566699 | − | 0.823925i | \(-0.308220\pi\) | ||||
0.566699 | + | 0.823925i | \(0.308220\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.82476 | −0.353829 | −0.176914 | − | 0.984226i | \(-0.556612\pi\) | ||||
−0.176914 | + | 0.984226i | \(0.556612\pi\) | |||||||
\(272\) | −6.53876 | −0.396471 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.57417 | 0.336748 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 13.6985 | 0.824556 | ||||||||
\(277\) | −13.5403 | −0.813560 | −0.406780 | − | 0.913526i | \(-0.633349\pi\) | ||||
−0.406780 | + | 0.913526i | \(0.633349\pi\) | |||||||
\(278\) | 0.339738 | 0.0203761 | ||||||||
\(279\) | −16.0538 | −0.961116 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.464716 | 0.0277226 | 0.0138613 | − | 0.999904i | \(-0.495588\pi\) | ||||
0.0138613 | + | 0.999904i | \(0.495588\pi\) | |||||||
\(282\) | 6.11770 | 0.364304 | ||||||||
\(283\) | −10.0604 | −0.598031 | −0.299015 | − | 0.954248i | \(-0.596658\pi\) | ||||
−0.299015 | + | 0.954248i | \(0.596658\pi\) | |||||||
\(284\) | 9.91745 | 0.588492 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 9.32634 | 0.550516 | ||||||||
\(288\) | −15.6429 | −0.921767 | ||||||||
\(289\) | −13.2021 | −0.776597 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −14.1752 | −0.830967 | ||||||||
\(292\) | −10.3317 | −0.604618 | ||||||||
\(293\) | 13.4501 | 0.785764 | 0.392882 | − | 0.919589i | \(-0.371478\pi\) | ||||
0.392882 | + | 0.919589i | \(0.371478\pi\) | |||||||
\(294\) | 3.78109 | 0.220518 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −2.50838 | −0.145797 | ||||||||
\(297\) | −10.8848 | −0.631597 | ||||||||
\(298\) | 5.24431 | 0.303795 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 29.2996 | 1.68880 | ||||||||
\(302\) | 4.81216 | 0.276909 | ||||||||
\(303\) | −15.3716 | −0.883076 | ||||||||
\(304\) | 4.18002 | 0.239741 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 2.73743 | 0.156488 | ||||||||
\(307\) | 24.6077 | 1.40444 | 0.702219 | − | 0.711961i | \(-0.252193\pi\) | ||||
0.702219 | + | 0.711961i | \(0.252193\pi\) | |||||||
\(308\) | 20.5781 | 1.17255 | ||||||||
\(309\) | 19.8349 | 1.12837 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.43781 | 0.138236 | 0.0691178 | − | 0.997609i | \(-0.477982\pi\) | ||||
0.0691178 | + | 0.997609i | \(0.477982\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 19.2965 | 1.09071 | 0.545353 | − | 0.838207i | \(-0.316396\pi\) | ||||
0.545353 | + | 0.838207i | \(0.316396\pi\) | |||||||
\(314\) | −3.61305 | −0.203896 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −26.0538 | −1.46564 | ||||||||
\(317\) | −28.8217 | −1.61879 | −0.809395 | − | 0.587265i | \(-0.800205\pi\) | ||||
−0.809395 | + | 0.587265i | \(0.800205\pi\) | |||||||
\(318\) | −11.4289 | −0.640900 | ||||||||
\(319\) | 9.73743 | 0.545191 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −23.0807 | −1.28824 | ||||||||
\(322\) | 2.98643 | 0.166427 | ||||||||
\(323\) | −2.42785 | −0.135089 | ||||||||
\(324\) | 7.01492 | 0.389718 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −1.38217 | −0.0765512 | ||||||||
\(327\) | −22.8578 | −1.26404 | ||||||||
\(328\) | −3.57964 | −0.197653 | ||||||||
\(329\) | −23.0371 | −1.27007 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.97310 | 0.163416 | 0.0817081 | − | 0.996656i | \(-0.473962\pi\) | ||||
0.0817081 | + | 0.996656i | \(0.473962\pi\) | |||||||
\(332\) | 16.2957 | 0.894341 | ||||||||
\(333\) | −8.27427 | −0.453427 | ||||||||
\(334\) | −1.10945 | −0.0607066 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 30.2876 | 1.65233 | ||||||||
\(337\) | −1.90370 | −0.103701 | −0.0518505 | − | 0.998655i | \(-0.516512\pi\) | ||||
−0.0518505 | + | 0.998655i | \(0.516512\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 19.7374 | 1.07199 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −12.2727 | −0.664605 | ||||||||
\(342\) | −1.74995 | −0.0946265 | ||||||||
\(343\) | 9.23611 | 0.498703 | ||||||||
\(344\) | −11.2458 | −0.606333 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.89055 | −0.155397 | ||||||||
\(347\) | 12.6347 | 0.678266 | 0.339133 | − | 0.940738i | \(-0.389866\pi\) | ||||
0.339133 | + | 0.940738i | \(0.389866\pi\) | |||||||
\(348\) | 15.2669 | 0.818394 | ||||||||
\(349\) | −8.97310 | −0.480319 | −0.240159 | − | 0.970733i | \(-0.577200\pi\) | ||||
−0.240159 | + | 0.970733i | \(0.577200\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −11.9586 | −0.637395 | ||||||||
\(353\) | −34.2505 | −1.82297 | −0.911484 | − | 0.411336i | \(-0.865062\pi\) | ||||
−0.911484 | + | 0.411336i | \(0.865062\pi\) | |||||||
\(354\) | 2.25779 | 0.120000 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 19.5036 | 1.03369 | ||||||||
\(357\) | −17.5917 | −0.931052 | ||||||||
\(358\) | 5.95841 | 0.314912 | ||||||||
\(359\) | −22.4043 | −1.18245 | −0.591227 | − | 0.806505i | \(-0.701356\pi\) | ||||
−0.591227 | + | 0.806505i | \(0.701356\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.4480 | −0.918314 | ||||||||
\(362\) | −0.345282 | −0.0181476 | ||||||||
\(363\) | 1.25092 | 0.0656565 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −6.67164 | −0.348732 | ||||||||
\(367\) | 13.1951 | 0.688777 | 0.344388 | − | 0.938827i | \(-0.388086\pi\) | ||||
0.344388 | + | 0.938827i | \(0.388086\pi\) | |||||||
\(368\) | 9.03171 | 0.470811 | ||||||||
\(369\) | −11.8080 | −0.614700 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 43.0371 | 2.23437 | ||||||||
\(372\) | −19.2419 | −0.997647 | ||||||||
\(373\) | 15.2614 | 0.790206 | 0.395103 | − | 0.918637i | \(-0.370709\pi\) | ||||
0.395103 | + | 0.918637i | \(0.370709\pi\) | |||||||
\(374\) | 2.09269 | 0.108211 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.84210 | 0.455997 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −3.72052 | −0.191363 | ||||||||
\(379\) | −18.2291 | −0.936363 | −0.468182 | − | 0.883632i | \(-0.655091\pi\) | ||||
−0.468182 | + | 0.883632i | \(0.655091\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 24.6669 | 1.26372 | ||||||||
\(382\) | −8.44246 | −0.431954 | ||||||||
\(383\) | 1.44088 | 0.0736255 | 0.0368128 | − | 0.999322i | \(-0.488279\pi\) | ||||
0.0368128 | + | 0.999322i | \(0.488279\pi\) | |||||||
\(384\) | −24.7255 | −1.26177 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −6.55741 | −0.333763 | ||||||||
\(387\) | −37.0960 | −1.88570 | ||||||||
\(388\) | −9.95576 | −0.505427 | ||||||||
\(389\) | −18.7912 | −0.952754 | −0.476377 | − | 0.879241i | \(-0.658050\pi\) | ||||
−0.476377 | + | 0.879241i | \(0.658050\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.24581 | −0.265292 | ||||||||
\(392\) | 5.46493 | 0.276021 | ||||||||
\(393\) | −26.9180 | −1.35784 | ||||||||
\(394\) | 7.16326 | 0.360880 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −26.0538 | −1.30925 | ||||||||
\(397\) | −17.0927 | −0.857857 | −0.428928 | − | 0.903338i | \(-0.641109\pi\) | ||||
−0.428928 | + | 0.903338i | \(0.641109\pi\) | |||||||
\(398\) | −6.03084 | −0.302298 | ||||||||
\(399\) | 11.2458 | 0.562995 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −22.2021 | −1.10872 | −0.554361 | − | 0.832276i | \(-0.687037\pi\) | ||||
−0.554361 | + | 0.832276i | \(0.687037\pi\) | |||||||
\(402\) | 3.57568 | 0.178339 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −10.7960 | −0.537122 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.32836 | 0.165184 | ||||||||
\(407\) | −6.32546 | −0.313541 | ||||||||
\(408\) | 6.75207 | 0.334277 | ||||||||
\(409\) | 9.63276 | 0.476309 | 0.238155 | − | 0.971227i | \(-0.423458\pi\) | ||||
0.238155 | + | 0.971227i | \(0.423458\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 45.3534 | 2.23712 | ||||||||
\(412\) | 13.9307 | 0.686318 | ||||||||
\(413\) | −8.50202 | −0.418357 | ||||||||
\(414\) | −3.78109 | −0.185831 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.76423 | 0.135365 | ||||||||
\(418\) | −1.33779 | −0.0654335 | ||||||||
\(419\) | −1.95634 | −0.0955733 | −0.0477866 | − | 0.998858i | \(-0.515217\pi\) | ||||
−0.0477866 | + | 0.998858i | \(0.515217\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.0807 | 0.588778 | 0.294389 | − | 0.955686i | \(-0.404884\pi\) | ||||
0.294389 | + | 0.955686i | \(0.404884\pi\) | |||||||
\(422\) | −6.38502 | −0.310818 | ||||||||
\(423\) | 29.1670 | 1.41815 | ||||||||
\(424\) | −16.5185 | −0.802210 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −4.67164 | −0.226342 | ||||||||
\(427\) | 25.1230 | 1.21579 | ||||||||
\(428\) | −16.2104 | −0.783558 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −24.5891 | −1.18441 | −0.592207 | − | 0.805786i | \(-0.701743\pi\) | ||||
−0.592207 | + | 0.805786i | \(0.701743\pi\) | |||||||
\(432\) | −11.2518 | −0.541352 | ||||||||
\(433\) | 36.0728 | 1.73355 | 0.866775 | − | 0.498700i | \(-0.166189\pi\) | ||||
0.866775 | + | 0.498700i | \(0.166189\pi\) | |||||||
\(434\) | −4.19495 | −0.201364 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −16.0538 | −0.768838 | ||||||||
\(437\) | 3.35348 | 0.160419 | ||||||||
\(438\) | 4.86678 | 0.232544 | ||||||||
\(439\) | 2.53528 | 0.121003 | 0.0605013 | − | 0.998168i | \(-0.480730\pi\) | ||||
0.0605013 | + | 0.998168i | \(0.480730\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 18.0269 | 0.858424 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 19.3579 | 0.919721 | 0.459860 | − | 0.887991i | \(-0.347899\pi\) | ||||
0.459860 | + | 0.887991i | \(0.347899\pi\) | |||||||
\(444\) | −9.91745 | −0.470661 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 4.09269 | 0.193795 | ||||||||
\(447\) | 42.6696 | 2.01820 | ||||||||
\(448\) | 18.4160 | 0.870075 | ||||||||
\(449\) | 24.8080 | 1.17076 | 0.585381 | − | 0.810758i | \(-0.300945\pi\) | ||||
0.585381 | + | 0.810758i | \(0.300945\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.02690 | −0.425060 | ||||||||
\(452\) | 13.8623 | 0.652027 | ||||||||
\(453\) | 39.1534 | 1.83959 | ||||||||
\(454\) | −2.03888 | −0.0956896 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.31638 | −0.202133 | ||||||||
\(457\) | 7.56748 | 0.353992 | 0.176996 | − | 0.984212i | \(-0.443362\pi\) | ||||
0.176996 | + | 0.984212i | \(0.443362\pi\) | |||||||
\(458\) | −8.92704 | −0.417133 | ||||||||
\(459\) | 6.53528 | 0.305041 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 12.3433 | 0.574884 | 0.287442 | − | 0.957798i | \(-0.407195\pi\) | ||||
0.287442 | + | 0.957798i | \(0.407195\pi\) | |||||||
\(462\) | −9.69338 | −0.450977 | ||||||||
\(463\) | 22.8578 | 1.06229 | 0.531146 | − | 0.847281i | \(-0.321762\pi\) | ||||
0.531146 | + | 0.847281i | \(0.321762\pi\) | |||||||
\(464\) | 10.0658 | 0.467293 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.272715 | −0.0126333 | ||||||||
\(467\) | 15.2976 | 0.707889 | 0.353945 | − | 0.935266i | \(-0.384840\pi\) | ||||
0.353945 | + | 0.935266i | \(0.384840\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.4647 | −0.621743 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −29.3971 | −1.35455 | ||||||||
\(472\) | 3.26325 | 0.150203 | ||||||||
\(473\) | −28.3589 | −1.30394 | ||||||||
\(474\) | 12.2727 | 0.563704 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −12.3553 | −0.566303 | ||||||||
\(477\) | −54.4889 | −2.49487 | ||||||||
\(478\) | 1.32335 | 0.0605284 | ||||||||
\(479\) | −24.2829 | −1.10951 | −0.554756 | − | 0.832013i | \(-0.687188\pi\) | ||||
−0.554756 | + | 0.832013i | \(0.687188\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 7.50793 | 0.341977 | ||||||||
\(483\) | 24.2987 | 1.10563 | ||||||||
\(484\) | 0.878567 | 0.0399349 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −6.63276 | −0.300868 | ||||||||
\(487\) | 36.8883 | 1.67157 | 0.835783 | − | 0.549060i | \(-0.185014\pi\) | ||||
0.835783 | + | 0.549060i | \(0.185014\pi\) | |||||||
\(488\) | −9.64273 | −0.436506 | ||||||||
\(489\) | −11.2458 | −0.508553 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −35.3534 | −1.59548 | −0.797739 | − | 0.603003i | \(-0.793971\pi\) | ||||
−0.797739 | + | 0.603003i | \(0.793971\pi\) | |||||||
\(492\) | −14.1529 | −0.638064 | ||||||||
\(493\) | −5.84642 | −0.263310 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.6866 | −0.569644 | ||||||||
\(497\) | 17.5917 | 0.789096 | ||||||||
\(498\) | −7.67612 | −0.343975 | ||||||||
\(499\) | −16.2189 | −0.726058 | −0.363029 | − | 0.931778i | \(-0.618257\pi\) | ||||
−0.363029 | + | 0.931778i | \(0.618257\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.02690 | −0.403292 | ||||||||
\(502\) | −6.29480 | −0.280950 | ||||||||
\(503\) | −20.2384 | −0.902386 | −0.451193 | − | 0.892427i | \(-0.649001\pi\) | ||||
−0.451193 | + | 0.892427i | \(0.649001\pi\) | |||||||
\(504\) | −18.3265 | −0.816328 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −2.89055 | −0.128500 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 17.3244 | 0.768646 | ||||||||
\(509\) | 20.0371 | 0.888127 | 0.444063 | − | 0.895995i | \(-0.353537\pi\) | ||||
0.444063 | + | 0.895995i | \(0.353537\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −18.3265 | −0.810718 | ||||||||
\(512\) | −20.9992 | −0.928042 | ||||||||
\(513\) | −4.17780 | −0.184454 | ||||||||
\(514\) | 0.698546 | 0.0308116 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −44.4629 | −1.95737 | ||||||||
\(517\) | 22.2974 | 0.980639 | ||||||||
\(518\) | −2.16211 | −0.0949977 | ||||||||
\(519\) | −23.5185 | −1.03235 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 16.0269 | 0.702151 | 0.351076 | − | 0.936347i | \(-0.385816\pi\) | ||||
0.351076 | + | 0.936347i | \(0.385816\pi\) | |||||||
\(522\) | −4.21401 | −0.184442 | ||||||||
\(523\) | 11.7380 | 0.513265 | 0.256633 | − | 0.966509i | \(-0.417387\pi\) | ||||
0.256633 | + | 0.966509i | \(0.417387\pi\) | |||||||
\(524\) | −18.9055 | −0.825889 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.89775 | −0.431562 | ||||||||
\(527\) | 7.36863 | 0.320982 | ||||||||
\(528\) | −29.3152 | −1.27578 | ||||||||
\(529\) | −15.7542 | −0.684965 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 10.7643 | 0.467132 | ||||||||
\(532\) | 7.89832 | 0.342436 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −9.18722 | −0.397570 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 5.16804 | 0.223225 | ||||||||
\(537\) | 48.4798 | 2.09206 | ||||||||
\(538\) | −6.14995 | −0.265143 | ||||||||
\(539\) | 13.7811 | 0.593594 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 21.8080 | 0.937599 | 0.468800 | − | 0.883305i | \(-0.344687\pi\) | ||||
0.468800 | + | 0.883305i | \(0.344687\pi\) | |||||||
\(542\) | 1.92704 | 0.0827736 | ||||||||
\(543\) | −2.80934 | −0.120560 | ||||||||
\(544\) | 7.18002 | 0.307841 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.30924 | 0.269764 | 0.134882 | − | 0.990862i | \(-0.456935\pi\) | ||||
0.134882 | + | 0.990862i | \(0.456935\pi\) | |||||||
\(548\) | 31.8533 | 1.36070 | ||||||||
\(549\) | −31.8080 | −1.35753 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.73743 | 0.159220 | ||||||||
\(552\) | −9.32634 | −0.396955 | ||||||||
\(553\) | −46.2146 | −1.96524 | ||||||||
\(554\) | 4.47964 | 0.190322 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.94141 | 0.0823342 | ||||||||
\(557\) | 35.8378 | 1.51849 | 0.759247 | − | 0.650802i | \(-0.225567\pi\) | ||||
0.759247 | + | 0.650802i | \(0.225567\pi\) | |||||||
\(558\) | 5.31119 | 0.224840 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 17.0269 | 0.718876 | ||||||||
\(562\) | −0.153745 | −0.00648534 | ||||||||
\(563\) | −5.00212 | −0.210814 | −0.105407 | − | 0.994429i | \(-0.533615\pi\) | ||||
−0.105407 | + | 0.994429i | \(0.533615\pi\) | |||||||
\(564\) | 34.9593 | 1.47205 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 3.32836 | 0.139901 | ||||||||
\(567\) | 12.4432 | 0.522564 | ||||||||
\(568\) | −6.75207 | −0.283310 | ||||||||
\(569\) | −13.1680 | −0.552033 | −0.276017 | − | 0.961153i | \(-0.589014\pi\) | ||||
−0.276017 | + | 0.961153i | \(0.589014\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.8349 | 0.830065 | 0.415032 | − | 0.909807i | \(-0.363770\pi\) | ||||
0.415032 | + | 0.909807i | \(0.363770\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −68.6909 | −2.86960 | ||||||||
\(574\) | −3.08549 | −0.128786 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −23.3164 | −0.971516 | ||||||||
\(577\) | 10.9210 | 0.454646 | 0.227323 | − | 0.973819i | \(-0.427003\pi\) | ||||
0.227323 | + | 0.973819i | \(0.427003\pi\) | |||||||
\(578\) | 4.36775 | 0.181675 | ||||||||
\(579\) | −53.3534 | −2.21729 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 28.9055 | 1.19920 | ||||||||
\(582\) | 4.68969 | 0.194394 | ||||||||
\(583\) | −41.6553 | −1.72519 | ||||||||
\(584\) | 7.03411 | 0.291073 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.44979 | −0.183819 | ||||||||
\(587\) | 40.4495 | 1.66953 | 0.834764 | − | 0.550607i | \(-0.185604\pi\) | ||||
0.834764 | + | 0.550607i | \(0.185604\pi\) | |||||||
\(588\) | 21.6069 | 0.891052 | ||||||||
\(589\) | −4.71053 | −0.194094 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 58.2829 | 2.39744 | ||||||||
\(592\) | −6.53876 | −0.268742 | ||||||||
\(593\) | 1.47709 | 0.0606569 | 0.0303284 | − | 0.999540i | \(-0.490345\pi\) | ||||
0.0303284 | + | 0.999540i | \(0.490345\pi\) | |||||||
\(594\) | 3.60107 | 0.147754 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 29.9683 | 1.22755 | ||||||||
\(597\) | −49.0690 | −2.00826 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 2.27271 | 0.0928606 | 0.0464303 | − | 0.998922i | \(-0.485215\pi\) | ||||
0.0464303 | + | 0.998922i | \(0.485215\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.40429 | 0.302027 | 0.151014 | − | 0.988532i | \(-0.451746\pi\) | ||||
0.151014 | + | 0.988532i | \(0.451746\pi\) | |||||||
\(602\) | −9.69338 | −0.395073 | ||||||||
\(603\) | 17.0476 | 0.694231 | ||||||||
\(604\) | 27.4988 | 1.11891 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 5.08549 | 0.206584 | ||||||||
\(607\) | 10.6932 | 0.434024 | 0.217012 | − | 0.976169i | \(-0.430369\pi\) | ||||
0.217012 | + | 0.976169i | \(0.430369\pi\) | |||||||
\(608\) | −4.58996 | −0.186147 | ||||||||
\(609\) | 27.0807 | 1.09737 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 15.6429 | 0.632327 | ||||||||
\(613\) | 6.08149 | 0.245629 | 0.122815 | − | 0.992430i | \(-0.460808\pi\) | ||||
0.122815 | + | 0.992430i | \(0.460808\pi\) | |||||||
\(614\) | −8.14114 | −0.328550 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −14.0101 | −0.564485 | ||||||||
\(617\) | 31.8388 | 1.28178 | 0.640892 | − | 0.767631i | \(-0.278565\pi\) | ||||
0.640892 | + | 0.767631i | \(0.278565\pi\) | |||||||
\(618\) | −6.56211 | −0.263967 | ||||||||
\(619\) | 26.4043 | 1.06128 | 0.530639 | − | 0.847598i | \(-0.321952\pi\) | ||||
0.530639 | + | 0.847598i | \(0.321952\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −9.02690 | −0.362237 | ||||||||
\(622\) | −0.806517 | −0.0323384 | ||||||||
\(623\) | 34.5957 | 1.38605 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −6.38400 | −0.255156 | ||||||||
\(627\) | −10.8848 | −0.434695 | ||||||||
\(628\) | −20.6466 | −0.823889 | ||||||||
\(629\) | 3.79785 | 0.151430 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −35.1680 | −1.40002 | −0.700009 | − | 0.714134i | \(-0.746821\pi\) | ||||
−0.700009 | + | 0.714134i | \(0.746821\pi\) | |||||||
\(632\) | 17.7381 | 0.705585 | ||||||||
\(633\) | −51.9508 | −2.06486 | ||||||||
\(634\) | 9.53528 | 0.378695 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −65.3098 | −2.58970 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −3.22150 | −0.127540 | ||||||||
\(639\) | −22.2727 | −0.881095 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.52514 | 0.218230 | 0.109115 | − | 0.994029i | \(-0.465198\pi\) | ||||
0.109115 | + | 0.994029i | \(0.465198\pi\) | |||||||
\(642\) | 7.63594 | 0.301367 | ||||||||
\(643\) | −32.1552 | −1.26808 | −0.634039 | − | 0.773301i | \(-0.718604\pi\) | ||||
−0.634039 | + | 0.773301i | \(0.718604\pi\) | |||||||
\(644\) | 17.0658 | 0.672486 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.803220 | 0.0316023 | ||||||||
\(647\) | 13.7843 | 0.541917 | 0.270959 | − | 0.962591i | \(-0.412659\pi\) | ||||
0.270959 | + | 0.962591i | \(0.412659\pi\) | |||||||
\(648\) | −4.77595 | −0.187617 | ||||||||
\(649\) | 8.22905 | 0.323019 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −34.1316 | −1.33772 | ||||||||
\(652\) | −7.89832 | −0.309322 | ||||||||
\(653\) | −8.50202 | −0.332710 | −0.166355 | − | 0.986066i | \(-0.553200\pi\) | ||||
−0.166355 | + | 0.986066i | \(0.553200\pi\) | |||||||
\(654\) | 7.56219 | 0.295705 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −9.33130 | −0.364326 | ||||||||
\(657\) | 23.2031 | 0.905238 | ||||||||
\(658\) | 7.62150 | 0.297117 | ||||||||
\(659\) | 4.04366 | 0.157519 | 0.0787594 | − | 0.996894i | \(-0.474904\pi\) | ||||
0.0787594 | + | 0.996894i | \(0.474904\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −31.2727 | −1.21637 | −0.608184 | − | 0.793796i | \(-0.708102\pi\) | ||||
−0.608184 | + | 0.793796i | \(0.708102\pi\) | |||||||
\(662\) | −0.983609 | −0.0382290 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −11.0945 | −0.430551 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.73743 | 0.106073 | ||||||||
\(667\) | 8.07541 | 0.312681 | ||||||||
\(668\) | −6.33991 | −0.245298 | ||||||||
\(669\) | 33.2996 | 1.28744 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −24.3164 | −0.938723 | ||||||||
\(672\) | −33.2579 | −1.28295 | ||||||||
\(673\) | 32.0739 | 1.23636 | 0.618179 | − | 0.786037i | \(-0.287871\pi\) | ||||
0.618179 | + | 0.786037i | \(0.287871\pi\) | |||||||
\(674\) | 0.629812 | 0.0242595 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −14.2382 | −0.547220 | −0.273610 | − | 0.961841i | \(-0.588218\pi\) | ||||
−0.273610 | + | 0.961841i | \(0.588218\pi\) | |||||||
\(678\) | −6.52986 | −0.250778 | ||||||||
\(679\) | −17.6597 | −0.677716 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −16.5891 | −0.635695 | ||||||||
\(682\) | 4.06026 | 0.155475 | ||||||||
\(683\) | −25.7847 | −0.986622 | −0.493311 | − | 0.869853i | \(-0.664214\pi\) | ||||
−0.493311 | + | 0.869853i | \(0.664214\pi\) | |||||||
\(684\) | −10.0000 | −0.382360 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −3.05564 | −0.116665 | ||||||||
\(687\) | −72.6336 | −2.77114 | ||||||||
\(688\) | −29.3152 | −1.11763 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.0436636 | 0.00166104 | 0.000830522 | − | 1.00000i | \(-0.499736\pi\) | ||||
0.000830522 | 1.00000i | \(0.499736\pi\) | ||||||||
\(692\) | −16.5179 | −0.627915 | ||||||||
\(693\) | −46.2146 | −1.75555 | ||||||||
\(694\) | −4.18002 | −0.158671 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −10.3941 | −0.393989 | ||||||||
\(697\) | 5.41982 | 0.205290 | ||||||||
\(698\) | 2.96863 | 0.112364 | ||||||||
\(699\) | −2.21891 | −0.0839267 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −14.5454 | −0.549373 | −0.274687 | − | 0.961534i | \(-0.588574\pi\) | ||||
−0.274687 | + | 0.961534i | \(0.588574\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.42785 | −0.0915679 | ||||||||
\(704\) | −17.8248 | −0.671796 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 11.3313 | 0.426459 | ||||||||
\(707\) | −19.1501 | −0.720214 | ||||||||
\(708\) | 12.9020 | 0.484888 | ||||||||
\(709\) | −19.6328 | −0.737324 | −0.368662 | − | 0.929564i | \(-0.620184\pi\) | ||||
−0.368662 | + | 0.929564i | \(0.620184\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 58.5119 | 2.19437 | ||||||||
\(712\) | −13.2786 | −0.497636 | ||||||||
\(713\) | −10.1780 | −0.381168 | ||||||||
\(714\) | 5.81998 | 0.217807 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 34.0490 | 1.27247 | ||||||||
\(717\) | 10.7672 | 0.402109 | ||||||||
\(718\) | 7.41216 | 0.276619 | ||||||||
\(719\) | 47.4312 | 1.76889 | 0.884443 | − | 0.466649i | \(-0.154539\pi\) | ||||
0.884443 | + | 0.466649i | \(0.154539\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 24.7105 | 0.920268 | ||||||||
\(722\) | 5.77242 | 0.214827 | ||||||||
\(723\) | 61.0872 | 2.27186 | ||||||||
\(724\) | −1.97310 | −0.0733295 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.413851 | −0.0153595 | ||||||||
\(727\) | −34.0951 | −1.26452 | −0.632259 | − | 0.774757i | \(-0.717872\pi\) | ||||
−0.632259 | + | 0.774757i | \(0.717872\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −42.8349 | −1.58648 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 17.0269 | 0.629763 | ||||||||
\(732\) | −38.1247 | −1.40913 | ||||||||
\(733\) | −14.3920 | −0.531580 | −0.265790 | − | 0.964031i | \(-0.585633\pi\) | ||||
−0.265790 | + | 0.964031i | \(0.585633\pi\) | |||||||
\(734\) | −4.36541 | −0.161130 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −9.91745 | −0.365562 | ||||||||
\(737\) | 13.0324 | 0.480055 | ||||||||
\(738\) | 3.90652 | 0.143801 | ||||||||
\(739\) | 34.4480 | 1.26719 | 0.633594 | − | 0.773665i | \(-0.281579\pi\) | ||||
0.633594 | + | 0.773665i | \(0.281579\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −14.2382 | −0.522702 | ||||||||
\(743\) | 40.7134 | 1.49363 | 0.746816 | − | 0.665031i | \(-0.231582\pi\) | ||||
0.746816 | + | 0.665031i | \(0.231582\pi\) | |||||||
\(744\) | 13.1004 | 0.480285 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −5.04903 | −0.184858 | ||||||||
\(747\) | −36.5970 | −1.33901 | ||||||||
\(748\) | 11.9586 | 0.437249 | ||||||||
\(749\) | −28.7542 | −1.05066 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 32.5018 | 1.18601 | 0.593003 | − | 0.805200i | \(-0.297942\pi\) | ||||
0.593003 | + | 0.805200i | \(0.297942\pi\) | |||||||
\(752\) | 23.0493 | 0.840522 | ||||||||
\(753\) | −51.2167 | −1.86644 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −21.2607 | −0.773245 | ||||||||
\(757\) | 13.0324 | 0.473671 | 0.236836 | − | 0.971550i | \(-0.423890\pi\) | ||||
0.236836 | + | 0.971550i | \(0.423890\pi\) | |||||||
\(758\) | 6.03084 | 0.219050 | ||||||||
\(759\) | −23.5185 | −0.853668 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 3.98985 | 0.144632 | 0.0723161 | − | 0.997382i | \(-0.476961\pi\) | ||||
0.0723161 | + | 0.997382i | \(0.476961\pi\) | |||||||
\(762\) | −8.16070 | −0.295631 | ||||||||
\(763\) | −28.4765 | −1.03092 | ||||||||
\(764\) | −48.2440 | −1.74541 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.476696 | −0.0172237 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −21.3847 | −0.771652 | ||||||||
\(769\) | −6.66686 | −0.240413 | −0.120207 | − | 0.992749i | \(-0.538356\pi\) | ||||
−0.120207 | + | 0.992749i | \(0.538356\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.68362 | 0.204691 | ||||||||
\(772\) | −37.4720 | −1.34865 | ||||||||
\(773\) | 48.3349 | 1.73849 | 0.869244 | − | 0.494384i | \(-0.164606\pi\) | ||||
0.869244 | + | 0.494384i | \(0.164606\pi\) | |||||||
\(774\) | 12.2727 | 0.441134 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 6.77815 | 0.243321 | ||||||||
\(777\) | −17.5917 | −0.631099 | ||||||||
\(778\) | 6.21683 | 0.222884 | ||||||||
\(779\) | −3.46472 | −0.124136 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.0269 | −0.609271 | ||||||||
\(782\) | 1.73551 | 0.0620616 | ||||||||
\(783\) | −10.0604 | −0.359531 | ||||||||
\(784\) | 14.2458 | 0.508779 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 8.90547 | 0.317648 | ||||||||
\(787\) | −27.9612 | −0.996709 | −0.498355 | − | 0.866973i | \(-0.666062\pi\) | ||||
−0.498355 | + | 0.866973i | \(0.666062\pi\) | |||||||
\(788\) | 40.9341 | 1.45822 | ||||||||
\(789\) | −80.5316 | −2.86700 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 24.5891 | 0.874288 | ||||||||
\(792\) | 17.7381 | 0.630297 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 5.65488 | 0.200684 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −34.4629 | −1.22150 | ||||||||
\(797\) | −37.2424 | −1.31919 | −0.659597 | − | 0.751619i | \(-0.729273\pi\) | ||||
−0.659597 | + | 0.751619i | \(0.729273\pi\) | |||||||
\(798\) | −3.72052 | −0.131705 | ||||||||
\(799\) | −13.3875 | −0.473617 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −43.8014 | −1.54765 | ||||||||
\(802\) | 7.34528 | 0.259371 | ||||||||
\(803\) | 17.7381 | 0.625965 | ||||||||
\(804\) | 20.4330 | 0.720617 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −50.0382 | −1.76143 | ||||||||
\(808\) | 7.35022 | 0.258580 | ||||||||
\(809\) | 14.5287 | 0.510801 | 0.255400 | − | 0.966835i | \(-0.417793\pi\) | ||||
0.255400 | + | 0.966835i | \(0.417793\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −44.0538 | −1.54694 | −0.773469 | − | 0.633834i | \(-0.781480\pi\) | ||||
−0.773469 | + | 0.633834i | \(0.781480\pi\) | |||||||
\(812\) | 19.0197 | 0.667461 | ||||||||
\(813\) | 15.6791 | 0.549890 | ||||||||
\(814\) | 2.09269 | 0.0733489 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 17.6011 | 0.616161 | ||||||||
\(817\) | −10.8848 | −0.380809 | ||||||||
\(818\) | −3.18687 | −0.111426 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −27.0269 | −0.943245 | −0.471623 | − | 0.881800i | \(-0.656332\pi\) | ||||
−0.471623 | + | 0.881800i | \(0.656332\pi\) | |||||||
\(822\) | −15.0046 | −0.523345 | ||||||||
\(823\) | 39.5963 | 1.38024 | 0.690120 | − | 0.723695i | \(-0.257558\pi\) | ||||
0.690120 | + | 0.723695i | \(0.257558\pi\) | |||||||
\(824\) | −9.48442 | −0.330405 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.81278 | 0.0978691 | ||||||||
\(827\) | −26.5639 | −0.923716 | −0.461858 | − | 0.886954i | \(-0.652817\pi\) | ||||
−0.461858 | + | 0.886954i | \(0.652817\pi\) | |||||||
\(828\) | −21.6069 | −0.750890 | ||||||||
\(829\) | 13.9832 | 0.485658 | 0.242829 | − | 0.970069i | \(-0.421925\pi\) | ||||
0.242829 | + | 0.970069i | \(0.421925\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 36.4480 | 1.26437 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −8.27427 | −0.286686 | ||||||||
\(834\) | −0.914507 | −0.0316668 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −7.64474 | −0.264399 | ||||||||
\(837\) | 12.6798 | 0.438278 | ||||||||
\(838\) | 0.647228 | 0.0223581 | ||||||||
\(839\) | −14.3941 | −0.496941 | −0.248471 | − | 0.968639i | \(-0.579928\pi\) | ||||
−0.248471 | + | 0.968639i | \(0.579928\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.0000 | −0.689655 | ||||||||
\(842\) | −3.99674 | −0.137737 | ||||||||
\(843\) | −1.25092 | −0.0430841 | ||||||||
\(844\) | −36.4868 | −1.25593 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −9.64952 | −0.331757 | ||||||||
\(847\) | 1.55841 | 0.0535477 | ||||||||
\(848\) | −43.0600 | −1.47869 | ||||||||
\(849\) | 27.0807 | 0.929408 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −5.24581 | −0.179824 | ||||||||
\(852\) | −26.6958 | −0.914584 | ||||||||
\(853\) | −27.2633 | −0.933478 | −0.466739 | − | 0.884395i | \(-0.654571\pi\) | ||||
−0.466739 | + | 0.884395i | \(0.654571\pi\) | |||||||
\(854\) | −8.31160 | −0.284417 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 11.0365 | 0.377219 | ||||||||
\(857\) | 50.6201 | 1.72915 | 0.864575 | − | 0.502503i | \(-0.167587\pi\) | ||||
0.864575 | + | 0.502503i | \(0.167587\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.27992 | 0.0436702 | 0.0218351 | − | 0.999762i | \(-0.493049\pi\) | ||||
0.0218351 | + | 0.999762i | \(0.493049\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −25.1047 | −0.855565 | ||||||||
\(862\) | 8.13497 | 0.277078 | ||||||||
\(863\) | 8.38448 | 0.285411 | 0.142706 | − | 0.989765i | \(-0.454420\pi\) | ||||
0.142706 | + | 0.989765i | \(0.454420\pi\) | |||||||
\(864\) | 12.3553 | 0.420335 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −11.9342 | −0.405541 | ||||||||
\(867\) | 35.5376 | 1.20692 | ||||||||
\(868\) | −23.9718 | −0.813655 | ||||||||
\(869\) | 44.7308 | 1.51739 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 10.9299 | 0.370132 | ||||||||
\(873\) | 22.3588 | 0.756729 | ||||||||
\(874\) | −1.10945 | −0.0375278 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 27.8109 | 0.939645 | ||||||||
\(877\) | −55.8862 | −1.88714 | −0.943572 | − | 0.331169i | \(-0.892557\pi\) | ||||
−0.943572 | + | 0.331169i | \(0.892557\pi\) | |||||||
\(878\) | −0.838765 | −0.0283069 | ||||||||
\(879\) | −36.2051 | −1.22117 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 25.1949 | 0.848839 | 0.424420 | − | 0.905466i | \(-0.360478\pi\) | ||||
0.424420 | + | 0.905466i | \(0.360478\pi\) | |||||||
\(882\) | −5.96396 | −0.200817 | ||||||||
\(883\) | 30.7868 | 1.03606 | 0.518029 | − | 0.855363i | \(-0.326666\pi\) | ||||
0.518029 | + | 0.855363i | \(0.326666\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −6.40429 | −0.215156 | ||||||||
\(887\) | 12.4721 | 0.418771 | 0.209385 | − | 0.977833i | \(-0.432854\pi\) | ||||
0.209385 | + | 0.977833i | \(0.432854\pi\) | |||||||
\(888\) | 6.75207 | 0.226585 | ||||||||
\(889\) | 30.7302 | 1.03066 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −12.0437 | −0.403478 | ||||||||
\(892\) | 23.3875 | 0.783071 | ||||||||
\(893\) | 8.55822 | 0.286390 | ||||||||
\(894\) | −14.1167 | −0.472132 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −30.8032 | −1.02906 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −8.20739 | −0.273884 | ||||||||
\(899\) | −11.3433 | −0.378320 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 25.0101 | 0.833209 | ||||||||
\(902\) | 2.98643 | 0.0994372 | ||||||||
\(903\) | −78.8688 | −2.62459 | ||||||||
\(904\) | −9.43781 | −0.313897 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −12.9534 | −0.430348 | ||||||||
\(907\) | 38.8911 | 1.29136 | 0.645678 | − | 0.763609i | \(-0.276575\pi\) | ||||
0.645678 | + | 0.763609i | \(0.276575\pi\) | |||||||
\(908\) | −11.6511 | −0.386655 | ||||||||
\(909\) | 24.2458 | 0.804183 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0.165096 | 0.00546989 | 0.00273494 | − | 0.999996i | \(-0.499129\pi\) | ||||
0.00273494 | + | 0.999996i | \(0.499129\pi\) | |||||||
\(912\) | −11.2518 | −0.372584 | ||||||||
\(913\) | −27.9774 | −0.925918 | ||||||||
\(914\) | −2.50360 | −0.0828117 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −51.0131 | −1.68552 | ||||||||
\(917\) | −33.5348 | −1.10742 | ||||||||
\(918\) | −2.16211 | −0.0713603 | ||||||||
\(919\) | 0.895326 | 0.0295341 | 0.0147670 | − | 0.999891i | \(-0.495299\pi\) | ||||
0.0147670 | + | 0.999891i | \(0.495299\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −66.2392 | −2.18266 | ||||||||
\(922\) | −4.08361 | −0.134486 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −55.3923 | −1.82227 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −7.56219 | −0.248509 | ||||||||
\(927\) | −31.2858 | −1.02756 | ||||||||
\(928\) | −11.0529 | −0.362831 | ||||||||
\(929\) | 12.2895 | 0.403205 | 0.201602 | − | 0.979467i | \(-0.435385\pi\) | ||||
0.201602 | + | 0.979467i | \(0.435385\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.28947 | 0.173356 | ||||||||
\(932\) | −1.55841 | −0.0510476 | ||||||||
\(933\) | −6.56211 | −0.214834 | ||||||||
\(934\) | −5.06101 | −0.165601 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.77242 | 0.188577 | 0.0942884 | − | 0.995545i | \(-0.469942\pi\) | ||||
0.0942884 | + | 0.995545i | \(0.469942\pi\) | |||||||
\(938\) | 4.45462 | 0.145448 | ||||||||
\(939\) | −51.9425 | −1.69508 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 55.8887 | 1.82192 | 0.910960 | − | 0.412495i | \(-0.135342\pi\) | ||||
0.910960 | + | 0.412495i | \(0.135342\pi\) | |||||||
\(942\) | 9.72563 | 0.316878 | ||||||||
\(943\) | −7.48616 | −0.243783 | ||||||||
\(944\) | 8.50655 | 0.276864 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.38217 | 0.305041 | ||||||||
\(947\) | −1.89638 | −0.0616239 | −0.0308120 | − | 0.999525i | \(-0.509809\pi\) | ||||
−0.0308120 | + | 0.999525i | \(0.509809\pi\) | |||||||
\(948\) | 70.1318 | 2.27777 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 77.5825 | 2.51578 | ||||||||
\(952\) | 8.41179 | 0.272628 | ||||||||
\(953\) | −33.6523 | −1.09011 | −0.545053 | − | 0.838402i | \(-0.683490\pi\) | ||||
−0.545053 | + | 0.838402i | \(0.683490\pi\) | |||||||
\(954\) | 18.0269 | 0.583643 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 7.56219 | 0.244579 | ||||||||
\(957\) | −26.2113 | −0.847290 | ||||||||
\(958\) | 8.03366 | 0.259556 | ||||||||
\(959\) | 56.5018 | 1.82454 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −16.7033 | −0.538817 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 36.4054 | 1.17315 | ||||||||
\(964\) | 42.9036 | 1.38183 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −8.03888 | −0.258647 | ||||||||
\(967\) | −23.0493 | −0.741216 | −0.370608 | − | 0.928789i | \(-0.620851\pi\) | ||||
−0.370608 | + | 0.928789i | \(0.620851\pi\) | |||||||
\(968\) | −0.598152 | −0.0192253 | ||||||||
\(969\) | 6.53528 | 0.209944 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 14.9193 | 0.478783 | 0.239391 | − | 0.970923i | \(-0.423052\pi\) | ||||
0.239391 | + | 0.970923i | \(0.423052\pi\) | |||||||
\(972\) | −37.9025 | −1.21572 | ||||||||
\(973\) | 3.44370 | 0.110400 | ||||||||
\(974\) | −12.2040 | −0.391041 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −25.1364 | −0.804595 | ||||||||
\(977\) | −23.3641 | −0.747485 | −0.373742 | − | 0.927533i | \(-0.621926\pi\) | ||||
−0.373742 | + | 0.927533i | \(0.621926\pi\) | |||||||
\(978\) | 3.72052 | 0.118969 | ||||||||
\(979\) | −33.4850 | −1.07019 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 36.0538 | 1.15111 | ||||||||
\(982\) | 11.6962 | 0.373241 | ||||||||
\(983\) | 5.31119 | 0.169401 | 0.0847003 | − | 0.996406i | \(-0.473007\pi\) | ||||
0.0847003 | + | 0.996406i | \(0.473007\pi\) | |||||||
\(984\) | 9.63570 | 0.307175 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 1.93421 | 0.0615978 | ||||||||
\(987\) | 62.0112 | 1.97384 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −23.5185 | −0.747846 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −24.0879 | −0.765178 | −0.382589 | − | 0.923919i | \(-0.624967\pi\) | ||||
−0.382589 | + | 0.923919i | \(0.624967\pi\) | |||||||
\(992\) | 13.9307 | 0.442301 | ||||||||
\(993\) | −8.00299 | −0.253967 | ||||||||
\(994\) | −5.81998 | −0.184599 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −43.8648 | −1.38991 | ||||||||
\(997\) | −20.4099 | −0.646389 | −0.323195 | − | 0.946332i | \(-0.604757\pi\) | ||||
−0.323195 | + | 0.946332i | \(0.604757\pi\) | |||||||
\(998\) | 5.36581 | 0.169852 | ||||||||
\(999\) | 6.53528 | 0.206767 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))